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ART001349613
|
oai_dc
|
On Comaximal Graphs of Near-rings
|
On Comaximal Graphs of Near-rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Patchirajulu Dheena(Annamalai University); Balasubramanian Elavarasan(K. S. R. College of Engineering)"
] |
Let N be a zero-symmetric near-ring with identity and let Γ(N) be a graph
with vertices as elements of N, where two different vertices a and b are adjacent if and only
if hai + hbi = N, where hxi is the ideal of N generated by x. Let Γ1(N) be the subgraph
of Γ(N) generated by the set {n ∈ N : hni = N} and Γ2(N) be the subgraph of Γ(N)
generated by the set N＼v(Γ1(N)), where v(G) is the set of all vertices of a graph G. In
this paper, we completely characterize the diameter of the subgraph Γ2(N) of Γ(N). In
addition, it is shown that for any near-ring, Γ2(N)＼(N) is a complete bipartite graph if
and only if the number of maximal ideals of N is 2, where M(N) is the intersection of all
maximal ideals of N and Γ2(N)＼(N) is the graph obtained by removing the elements of
the set M(N) from the vertices set of the graph Γ2(N).
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001349604
|
oai_dc
|
Meromorphic Function Sharing Two Small Functions with Its Derivative
|
Meromorphic Function Sharing Two Small Functions with Its Derivative
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Kai Liu(Shandong University); Xiao-guang Qi(Shandong University)"
] |
In this paper, we deal with the problem of uniqueness of meromorphic functions
that share two small functions with their derivatives, and obtain the following result
which improves a result of Yao and Li: Let f(z) be a nonconstant meromorphic function,
k > 5 be an integer.
If f(z) and g(z) = a1(z)f(z) + a2(z)f(k)(z) share the value 0 CM,
and share b(z) IM, NE(r, f = 0 = f(k)) = S(r), then f ≡ g, where a1(z), a2(z) and b(z)
are small functions of f(z).
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001349622
|
oai_dc
|
Langlands Functoriality Conjecture
|
Langlands Functoriality Conjecture
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jae-Hyun Yang(Inha University)"
] |
Functoriality conjecture is one of the central and influential subjects of the
present day mathematics. Functoriality is the profound lifting problem formulated by
Robert Langlands in the late 1960s in order to establish nonabelian class field theory.
In this expository article, I describe the Langlands-Shahidi method, the local and global
Langlands conjectures and the converse theorems which are powerful tools for the establishment
of functoriality of some important cases, and survey the interesting results related
to functoriality conjecture.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001349606
|
oai_dc
|
The Hahn-Banach Theorem on Arbitrary Groups
|
The Hahn-Banach Theorem on Arbitrary Groups
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jianfeng Huang(Sun Yat-Sen University); Yongjin Li(Sun Yat-sen University, )"
] |
In this paper, one kind of subgroup in arbitrary group which similar to the
linear subspace was constructed, and the generalization of the Hahn-Banach theorem on
this kind of subgroup in arbitrary groups was obtained.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001349619
|
oai_dc
|
On Local Properties of Factored Fourier Series
|
On Local Properties of Factored Fourier Series
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"HuseyIn Bor(Erciyes University)"
] |
In the present paper, a theorem dealing with local property of | N , pn, θn |k
summability of factored Fourier series which generalizes a result of Mazhar [8], has been
proved. Some new results have also been obtained.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001349601
|
oai_dc
|
On the Relationship between Zero-sums and Zero-divisors of Semirings
|
On the Relationship between Zero-sums and Zero-divisors of Semirings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Andrew J. Hetzel(Tennessee Technological University); Rebeca V. Lewis Lufi(Tennessee Technological University)"
] |
In this article, we generalize a well-known result of Hebisch and Weinert that
states that a finite semidomain is either zerosumfree or a ring. Specifically, we show that
the class of commutative semirings S such that S has nonzero characteristic and every
zero-divisor of S is nilpotent can be partitioned into zerosumfree semirings and rings. In
addition, we demonstrate that if S is a finite commutative semiring such that the set of
zero-divisors of S forms a subtractive ideal of S, then either every zero-sum of S is nilpotent
or S must be a ring. An example is given to establish the existence of semirings in this
latter category with both nontrivial zero-sums and zero-divisors that are not nilpotent.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001349598
|
oai_dc
|
Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is Cyclic-Ryan Parallel
|
Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is Cyclic-Ryan Parallel
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Juan de Dios Perez(Universidad de Granada); Florentino Garcia Santos(Universidad de Granada)"
] |
We classify real hypersurfaces in complex projective space whose structure
Jacobi operator satisfies a certain cyclic condition.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376579
|
oai_dc
|
Multivalent Harmonic Uniformly Starlike Functions
|
Multivalent Harmonic Uniformly Starlike Functions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Om Ahuja(Kent State University); Santosh Joshi(Walchand College of Engineerin); Naveneet Sangle(Annasaheb Dange College of Engineering)"
] |
In this paper, we investigate a generalized family of complex-valued harmonic
functions that are multivalent, sense-preserving, and are associated with k-uniformly harmonic functions in the unit disk. The results obtained here include a number of known and new results as their special cases.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376581
|
oai_dc
|
On a Relation to Hilbert’s Integral Inequality and a Hilbert- Type Inequality
|
On a Relation to Hilbert’s Integral Inequality and a Hilbert- Type Inequality
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Bicheng Yang(Guangdong Institute of Education)"
] |
In this paper, by introducing some parameters and using the way of weight
function, a new integral inequality with a best constant factor is given, which is a relation between Hilbert’s integral inequality and a Hilbert-type inequality. As applications, the equivalent form, the reverse forms and some particular inequalities are considered.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376498
|
oai_dc
|
Two-Weighted Intergal Inequalities for Differential Forms
|
Two-Weighted Intergal Inequalities for Differential Forms
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Shang Xiuyin(Agricultural University of Hebei); Gu Zhihua(Agricultural University of Hebei); Zhang Zengbo(Agricultural University of Hebei)"
] |
In this paper, we make use of the weight to obtain some two-weight integral
inequalities which are generalizations of the Poincar´e inequality. These inequalities are extensions of classical results and can be used to study the integrability of differential forms and to estimate the integrals of differential forms. Finally, we give some applications of this results to quasiregular mappings.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376504
|
oai_dc
|
On the Mordell-Weil Groups of Jacobians of Hyperelliptic Curves over Certain Elementary Abelian 2-extensions
|
On the Mordell-Weil Groups of Jacobians of Hyperelliptic Curves over Certain Elementary Abelian 2-extensions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"문현숙(경북대학교)"
] |
Let J be the Jacobian variety of a hyperelliptic curve over Q. Let M be the
field generated by all square roots of rational integers over a finite number field K. Then we prove that the Mordell-Weil group J(M) is the direct sum of a finite torsion group and a free Z-module of infinite rank. In particular, J(M) is not a divisible group. On the other hand, if fM is an extension of M which contains all the torsion points of J over Q, then [수식] is a divisible group of infinite rank, where fMsol is the maximal solvable extension of fM.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376513
|
oai_dc
|
E-Inversive Γ-Semigroups
|
E-Inversive Γ-Semigroups
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mridul Kanti Sen(University of Calcutta); Sumanta Chattopadhyay(Sri Ramkrishna Sarada Vidyamahapitha)"
] |
Let S = {a, b, c, ...} g and Γ = {α, β, γ, ... } be two nonempty sets. S is called
a Γ-semigroup if aαb 2 S, for all α ∈ Γ and a; b 2 S and (aαb)βc = aα(bβc), for all
a, b, c 2 ∈ and for all α, β ∈ Γ. An element e ∈ S is said to be an α-idempotent for
some α ∈ Γ if eαe = e. A Γ-semigroup S is called an E-inversive Γ-semigroup if for each
a 2 S there exist x ∈ S and α 2 Γ such that aαx is a β-idempotent for some β ∈ Γ. A
Γ-semigroup is called a right E- Γ-semigroup if for each α-idempotent e and β-idempotent
f, eαf is a β-idempotent. In this paper we investigate dierent properties of E-inversive
Γ-semigroup and right E-Γ-semigroup
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376508
|
oai_dc
|
General Formulas for Explicit Evaluations of Ramanujan’s Cubic Continued Fraction
|
General Formulas for Explicit Evaluations of Ramanujan’s Cubic Continued Fraction
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"M. S. Mahadeva Naika(Bangalore University); M. C. Maheshkumar(Bangalore University); K. Sushan Bairy(Bangalore University)"
] |
On page 366 of his lost notebook [15], Ramanujan recorded a cubic continued
fraction and several theorems analogous to Rogers-Ramanujan’s continued fractions. In this paper, we derive several general formulas for explicit evaluations of Ramanujan’s cubic continued fraction, several reciprocity theorems, two formulas connecting V (q) and V (q3) and also establish some explicit evaluations using the values of remarkable product of theta-function.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376516
|
oai_dc
|
A New Dual Hardy-Hilbert’s Inequality with some Parameters and its Reverse
|
A New Dual Hardy-Hilbert’s Inequality with some Parameters and its Reverse
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Wuyi Zhong(Guangdong Institute of Education)"
] |
By using the improved Euler-Maclaurin summation formula and estimating the weight coefficients in this paper, a new dual Hardy-Hilbert’s inequality and its reverse form are obtained, which are all with two pairs of conjugate exponents (p, q), (r, s) and a independent parameter lambda. In addition, some equivalent forms of the inequalities are considered. We also prove that the constant factors in the new inequalities are all the best possible. As a particular case of our results, we obtain the reverse form of a famous Hardy-Hilbert’s inequality.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376580
|
oai_dc
|
On Generalizations of Extending Modules
|
On Generalizations of Extending Modules
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Fatih Karabacak(Anadolu University)"
] |
A module M is said to be SIP-extending if the intersection of every pair
of direct summands is essential in a direct summand of M. SIP-extending modules are a proper generalization of both SIP-modules and extending modules. Every direct summand of an SIP-module is an SIP-module just as a direct summand of an extending module is extending. While it is known that a direct sum of SIP-extending modules is not necessarily SIP-extending, the question about direct summands of an SIP-extending module to be SIP-extending remains open. In this study, we show that a direct summand of an
SIP-extending module inherits this property under some conditions. Some related results
are included about C11 and SIP-modules.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376515
|
oai_dc
|
On Sums of Products of Horadam Numbers
|
On Sums of Products of Horadam Numbers
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Zvonko Cerin()"
] |
In this paper we give formulae for sums of products of two Horadam type
generalized Fibonacci numbers with the same recurrence equation and with possibly different initial conditions. Analogous improved alternating sums are also studied as well as various derived sums when terms are multiplied either by binomial coefficients or by members of the sequence of natural numbers. These formulae are related to the recent work of Belbachir and Bencherif, Cerin and Cerin and Gianella.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376573
|
oai_dc
|
On Conformally flat Almost Pseudo Ricci Symmetric Manifolds
|
On Conformally flat Almost Pseudo Ricci Symmetric Manifolds
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Uday Chand De(University of Calcutta); Abul Kalam Gazi(University of Calcutta)"
] |
The object of the present paper is to study conformally at almost pseudo Ricci symmetric manifolds. The existence of a conformally at almost pseudo Ricci symmetric manifold with non-zero and non-constant scalar curvature is shown by a non-trivial example. We also show the existence of an n-dimensional non-conformally at almost pseudo Ricci symmetric manifold with vanishing scalar curvature.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376510
|
oai_dc
|
Some Results of QF Rings
|
Some Results of QF Rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Dong Jun(The Basic Courses Department of Lanzhou Polytechnic College)"
] |
Let R be a ring. We give some new characterizations of QF under the special
annihilators condition. Some known results are obtained as corollaries.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376506
|
oai_dc
|
On Compact-covering Images of Locally Separable Metric Spaces
|
On Compact-covering Images of Locally Separable Metric Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Nguyen Van Dung(Pedagogical University of Dongthap)"
] |
In this paper, we give the internal characterizations of compact-covering s-
(resp., π-)images of locally separable metric spaces. As applications of these results, we
obtain characterizations of compact-covering quotient s-(resp., π-)images of locally sepa-
rable metric spaces
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376578
|
oai_dc
|
Hypersurfaces of an almost r-paracontact Riemannian Manifold Endowed with a Quarter Symmetric Non-metric Connection
|
Hypersurfaces of an almost r-paracontact Riemannian Manifold Endowed with a Quarter Symmetric Non-metric Connection
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mobin Ahmad(Integral University); Abdul Haseeb(Integral University); Cihan Ozgur(Balikesir University)"
] |
We define a quarter symmetric non-metric connection in an almost r-pracontact Riemannian manifold and we consider invariant, non-invariant and antiinvariant hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric non-metric connection.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376584
|
oai_dc
|
Sharp-unknotting Number of a Torus Knot
|
Sharp-unknotting Number of a Torus Knot
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Taizo Kanenobu(Osaka City University)"
] |
We give an estimation for the sharp-unknotting number of certain types of
torus knots, and decide it for 39 torus knots.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376583
|
oai_dc
|
On the Envelopes of Homotopies
|
On the Envelopes of Homotopies
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jaeyoo Choy(Kyungpook National University); 최재유(경북대학교)"
] |
This paper is indented to explain a dynamics on homotopies on the compactmetric space, by the envelopes of homotopies. It generalizes the notion of not only the envelopes of maps in discrete geometry ([3]), but the envelopes ofows in continuous geometry ([5]). Certain distinctions among the homotopy geometry, the flow geometry and the discrete geometry will be illustrated. In particular, it is shown that any ω-limit set, as well as any attractor, for an envelope of homotopies is an empty set (provided the homotopies that we treat are not trivial), whereas it is nonempty in general in discrete case.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376514
|
oai_dc
|
Entire Functions and Their Derivatives Share Two Finite Sets
|
Entire Functions and Their Derivatives Share Two Finite Sets
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Chao Meng(Shandong University); Pei-Chu Hu(Shandong University)"
] |
In this paper, we study the uniqueness of entire functions and prove the following theorem. Let n(≥ 5), k be positive integers, and let S1={z:zn=1}, S2={a1,a2,...,a_m} where a1,a2,...,am are distinct nonzero constants.
If two nonconstant entire functions f and g satisfy Ef(S1,2)=Eg(S1,2) and [수식], then one of the following cases must occur: (1) f=tg, {a1,a2,...,am}=t{a1,a2,...,am}, where t is a constant satisfying [수식], where t, c, d are nonzero constants and t^{n}=1. The results in this paper improve the result given by Fang (M.L. Fang, Entire functions and their derivatives share two finite sets, Bull. Malaysian Math. Sc. Soc. 24(2001), 7-16).
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376577
|
oai_dc
|
On Hilbert-type Integral Inequalities with the Homogenous Kernel of -4- degree
|
On Hilbert-type Integral Inequalities with the Homogenous Kernel of -4- degree
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Qiliang Huang(Guangdong Institute of Education); Bing He(Guangdong Education College)"
] |
In this paper, by introducing a homogenous kernel of -4-degree, we establish
a new Hilbert-type integral inequality with multi-parameter and a best constant factor. As applications, the equivalent form, the reverse forms and some particular results are given correspondingly.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001376501
|
oai_dc
|
Weak Strictly Persistence Homeomorphisms and Weak Inverse Shadowing Property and Genericity
|
Weak Strictly Persistence Homeomorphisms and Weak Inverse Shadowing Property and Genericity
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Bahman Honary(Ferdowsi University of Mashhad); Alireza Zamani Bahabadi(Ferdowsi University)"
] |
In this paper we introduce the notions of strict persistence and weakly strict
persistence which are stronger than those of persistence and weak persistence, respectively, and study their relations with shadowing property. In particular, we show that the weakly strict persistence and the weak inverse shadowing property are locally generic in Z(M).
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327104
|
oai_dc
|
Ideals of the Multiplicative Semigroups Zn and their Products
|
Ideals of the Multiplicative Semigroups Zn and their Products
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Wattapong Puninagool(Udon Thani Rajabhat University); Jintana Sanwong(Chiang Mai University)"
] |
The multiplicative semigroups Zn have been widely studied. But, the ideals
of Zn seem to be unknown. In this paper, we provide a complete descriptions of ideals of
the semigroups Zn and their product semigroups Zm×Zn. We also study the numbers of
ideals in such semigroups.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327122
|
oai_dc
|
Integral Transforms of Square Integrable Functionals on Yeh- Wiener Space
|
Integral Transforms of Square Integrable Functionals on Yeh- Wiener Space
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"김병수(Seoul National University of Technology)"
] |
We give a necessary and sufficient condition that a square integrable func-
tional F(x) on Yeh-Wiener space has an integral transform Fα,βF(x) which is also square
integrable. This extends the result by Kim and Skoug for functional F(x) in L2(C0[0, T]).
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327098
|
oai_dc
|
Representations of the Braid Group and Punctured Torus Bundles
|
Representations of the Braid Group and Punctured Torus Bundles
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Takayuki Morifuji(Tokyo University of Agriculture and Technology)"
] |
In this short note, we consider a family of linear representations of the braid
group and the fundamental group of a punctured torus bundle over the circle. We con-
struct an irreducible (special) unitary representation of the fundamental group of a closed
3-manifold obtained by the Dehn filling
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327121
|
oai_dc
|
Meromorphic Functions Sharing a Small Function with Their Derivatives
|
Meromorphic Functions Sharing a Small Function with Their Derivatives
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jilong Zhang(Shandong University)"
] |
In this paper, we investigate uniqueness problems of meromorphic functions
that share a small function with one of their derivatives, and give some results to improve
some previous results.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327097
|
oai_dc
|
On Self-commutator Approximants
|
On Self-commutator Approximants
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Bhagwati Prashad Duggal(England, U.K)"
] |
Let B(X) denote the algebra of operators on a complex Banach space
X, H(X) = {h∈ B(X) : h is hermitian}, and J(X) = {x ∈ B(X) : x = x1 +
ix2, x1 and x2 ∈ H(X)}. Let δa ∈ B(B(X)) denote the derivation δa(x) = ax − xa. If
J(X) is an algebra and [수식] for some
a ∈ J(X), then ||a|| ≤ ||a−(x＊x−xx＊)||
for all x ∈ J(X)∩a−1(0). The cases J(X) = B(H), the algebra of operators on a complex
Hilbert space, and J(X) = Cp, the von Neumann–Schatten p-class, are considered.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327107
|
oai_dc
|
On Approximation by Post-Widder and Stancu Operators Preserving x2
|
On Approximation by Post-Widder and Stancu Operators Preserving x2
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Lucyna Rempulska(Poznan University of Technology); Mariola Skorupka(Poznan University of Technology)"
] |
In the papers [5]-[7] was examined approximation of functions by the modied
Szasz-Mrakyan operators and other positive linear operators preserving e2(x) = x2. In this
paper we introduce the Post-Widder and Stancu operators preserving x2 in polynomial
weighted spaces. We show that these operators have better approximation properties than
classical Post-Widder and Stancu operators.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327115
|
oai_dc
|
Small Functions of Meromorphic Functions that Share Three Values GCM
|
Small Functions of Meromorphic Functions that Share Three Values GCM
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Thamir Chilaap Alzahary(Shanghai University)"
] |
In this paper, we deal with the problem of uniqueness of meromorphic functions
that share three values, and obtain some theorems which improve some results of
Brosch, Yi and other authors.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327124
|
oai_dc
|
Geometric Means of Positive Operators
|
Geometric Means of Positive Operators
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Noboru Nakamura(Fujikoshi-kogyo Senior Highschool)"
] |
Based on Ricatti equation XA-1X = B for two (positive invertible) operators
A and B which has the geometric mean A#B as its solution, we consider a cubic equation
X(A#B)-1X(A#B)-1X = C
for A,B and C. The solution X = (A#B)# 1/3C is a candidate of the geometric mean of
the three operators. However, this solution is not invariant under permutation unlike the
geometric mean of two operators. To supply the lack of the property, we adopt a limiting
process due to Ando-Li-Mathias. We define reasonable geometric means of k operators for
all integers k ≥ 2 by induction. For three positive operators, in particular, we define the
weighted geometric mean as an extension of that of two operators
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327113
|
oai_dc
|
A Class of Starlike Functions Defined by the Dziok-Srivastava Operator
|
A Class of Starlike Functions Defined by the Dziok-Srivastava Operator
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Herb Silverman(College of Charleston); Gangadharan Murugusundaramoorhty(VIT University); Kaliappan Vijaya(VIT University)"
] |
A comprehensive class of starlike univalent functions defined by Dziok-
Srivastava operator is introduced. Necessary and sufficient coefficient bounds are given
for functions in this class to be starlike. Further distortion bounds, extreme points and
results on partial sums are investigated.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327102
|
oai_dc
|
Fractional Integrals and Generalized Olsen Inequalities
|
Fractional Integrals and Generalized Olsen Inequalities
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hendra Gunawan(Bandung Institute of Technology)"
] |
Let Tρ be the generalized fractional integral operator associated to a function
[수식], as defined in [16]. For a function W on Rn, we shall be interested in
the boundedness of the multiplication operator f → W ㆍTρ f on generalized｜ Morrey spaces.
Under some assumptions on ρ, we obtain an inequality for W ㆍ Tρ, which can be viewed as
an extension of Olsen's and Kurata-Nishigaki-Sugano's results
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327100
|
oai_dc
|
Uniqueness of Meromorphic Functions That Share Three Sets
|
Uniqueness of Meromorphic Functions That Share Three Sets
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Abhijit Banerjee(Kalyani Government Engineering College)"
] |
Dealing with a question of gross, we prove some uniqueness theorems con-
cerning meromorphic functions with the notion of weighted sharing of sets. Our results
will not only improve and supplement respectively two results of Lahiri-Banerjee [9] and
Qiu and Fang [13] but also improve a very recent result of the present author [1].
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327126
|
oai_dc
|
Pseudo-Rank Functions on Rickart *-rings
|
Pseudo-Rank Functions on Rickart *-rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Shriram Khanderao Nimbhorkar(Dr. Babasaheb Ambedkar Marathwada University)"
] |
Pseudo-rank functions on Rickart *-rings are introduced and their properties
are studied.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327117
|
oai_dc
|
The Signless Laplacian Spectral Radius of Unicyclic Graphs with Graph Constraints
|
The Signless Laplacian Spectral Radius of Unicyclic Graphs with Graph Constraints
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Lihua Feng(Shandong Institute of Business and Technology); Guihai Yu(Shandong Institute of Business and Technology)"
] |
In this paper, we study the signless Laplacian spectral radius of unicyclic
graphs with prescribed number of pendant vertices or independence number. We also
characterize the extremal graphs completely.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327119
|
oai_dc
|
On Semiparallel and Weyl-semiparallel Hypersurfaces of Kaehler Manifolds
|
On Semiparallel and Weyl-semiparallel Hypersurfaces of Kaehler Manifolds
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Cihan OZGUR(Balikesir University); Cengizhan MURATHAN(Uludag University); Kadri ARSLAN(Uludag University)"
] |
We study on semiparallel and Weyl semiparallel Sasakian hypersurfaces of
Kaehler manifolds. We prove that a (2n + 1)-dimensional Sasakian hypersurface M of a
(2n+2)-dimensional Kaehler manifold fM2n+2 is semiparallel if and only if it is totally umbilical
with unit mean curvature, if dimM = 3 and fM4 is a Calabi-Yau manifold, then fM
is
at at each point of M. We also prove that such a hypersurface M is Weyl-semiparallel
if and only if it is either an η-Einstein manifold or semiparallel. We also investigate the
extended classes of semiparallel and Weyl semiparallel Sasakian hypersurfaces of Kaehler
manifolds.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327109
|
oai_dc
|
On the Generalized Hyers-Ulam-Rassias Stability of Higher Ring Derivations
|
On the Generalized Hyers-Ulam-Rassias Stability of Higher Ring Derivations
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"박규홍(Seowon University); 정용수(Sun Moon University)"
] |
We establish the generalized Hyers-Ulam-Rassias stability of higher ring
derivations. Furthermore, we use the superstability of higher ring derivations to obtain
approximately higher linear derivations mapping into the Jacobson radical under some
conditions.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327111
|
oai_dc
|
Application of Bifurcation Method to a Generalized Modified Boussinesq Equation
|
Application of Bifurcation Method to a Generalized Modified Boussinesq Equation
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Ming Song(Yuxi Normal University); Chengxi Yang(Yuxi Normal Collage)"
] |
Bifurcation method of dynamical systems is employed to investigate exact
solitary wave solutions and kink wave solutions in the generalized modified Boussinesq
equation. Under some parameter conditions, their explicit expressions are obtained. Some
previous results are extended.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001327105
|
oai_dc
|
On Sufficient Conditions for Certain Subclass of Analytic Functions Defined by Convolution
|
On Sufficient Conditions for Certain Subclass of Analytic Functions Defined by Convolution
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Paramasivam Sooriyakala(Jaya College of Arts and Science); Natarajan Marikkannan(Government Arts College)"
] |
In the present investigation sufficient conditions are found for certain subclass
of normalized analytic functions defined by Hadamard product. Differential sandwich the-
orems are also obtained. As a special case of this we obtain results involving Ruscheweyh
derivative, Salagean derivative, Carlson-shaffer operator, Dziok-Srivatsava linear operator,
Multiplier transformation.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297603
|
oai_dc
|
Anti-periodic Boundary Value Problem for Impulsive Differential Equations with Delay
|
Anti-periodic Boundary Value Problem for Impulsive Differential Equations with Delay
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Fengqin Zhang(Yuncheng University, China)"
] |
The method of upper and lower solutions coupled with monotone iterative
technique is used to obtain the results of existence and uniqueness for an anti-periodic boundary value problem of impulsive differential equations with delay.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297606
|
oai_dc
|
On the Ideal Extensions in Gamma-Semigroups
|
On the Ideal Extensions in Gamma-Semigroups
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Manoj Siripitukdet(Naresuan University, Thailand); Aiyared Iampan(Naresuan University, Thailand)"
] |
In 1981, Sen [4] have introduced the concept of Gamma-semigroups. We have known that Gamma-semigroups are a generalization of semigroups. In this paper, we introduce the concepts of the extensions of s-prime ideals, prime ideals, s-semiprime ideals and semiprime ideals in Gamma-semigroups and characterize the relationship between the extensions of ideals and some congruences in Gamma-semigroups.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297605
|
oai_dc
|
Biideals in BCK/BCI-Bialgebras
|
Biideals in BCK/BCI-Bialgebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"전영배(경상대학교)"
] |
The biideal structure in BCK/BCI-bialgebras is discussed. Relationships between sub-bialgebras, biideals and IC-ideals (and/or CI-ideals) are considered. Conditions for a biideal to be a sub-bialgebra are provided, and conditions for a subset to be a biideal (resp. IC-ideal, CI-ideal) are given.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297611
|
oai_dc
|
MC2 Rings
|
MC2 Rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jun-chao Wei(Yangzhou University, China)"
] |
In this paper, we first study some characterizations of left MC2 rings. Next,
by introducing left nil−injective modules, we discuss and generalize some well known results for a ring whose simple singular left modules are Y J-injective. Finally, as a byproduct of these results we are able to show that if R is a left MC2 left Goldie ring whose every simple singular left R−module is nil−injective and GJcp−injective, then R is a finite product of simple left Goldie rings.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297612
|
oai_dc
|
Error Control Policy for Initial Value Problems with Discon-tinuities and Delays
|
Error Control Policy for Initial Value Problems with Discon-tinuities and Delays
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Abdul Hadi Alim A. Khader(Sana'a University,Yemen)"
] |
Runge-Kutta-NystrÄom (RKN) methods provide a popular way to solve the
initial value problem (IVP) for a system of ordinary differential equations (ODEs). Users of software are typically asked to specify a tolerance delta, that indicates in somewhat vague sense, the level of accuracy required. It is clearly important to understand the precise effect of changing delta, and to derive the strongest possible results about the behaviour of the global error that will not have regular behaviour unless an appropriate stepsize selection
formula and standard error control policy are used. Faced with this situation sufficient conditions on an algorithm that guarantee such behaviour for the global error to be asympotatically linear in delta as δ → 0 , that were first derived by Stetter. Here we extend the analysis to cover a certain class of ODEs with low-order derivative discontinuities, and the class of ODEs with constant delays. We show that standard error control techniques will be successful if discontinuities are handled correctly and delay terms are calculated with sufficient accurate interpolants. It is perhaps surprising that several delay ODE algorithms that have been proposed do not use sufficiently accurate interpolants to guarantee asymptotic proportionality. Our theoretical results are illustrated numerically.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297567
|
oai_dc
|
Poisson Banach Modules over a Poisson C*-Algebra
|
Poisson Banach Modules over a Poisson C*-Algebra
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"박춘길(한양대학교)"
] |
It is shown that every almost linear mapping h : A → B of a unital Poisson
C*-algebra A to a unital Poisson C*-algebra B is a Poisson C*-algebra homomorphism when h(2nuy) = h(2ⁿu)h(y) or h(3ⁿuy) = h(3ⁿu)h(y) for all y ∈ A, all unitary elements u ∈ A and n = 0, 1, 2, · · · , and that every almost linear almost multiplicative mapping h : A → B is a Poisson C*-algebra homomorphism when h(2x) = 2h(x) or h(3x) = 3h(x) for all x ∈ A. Here the numbers 2, 3 depend on the functional equations given in the almost linear mappings or in the almost linear almost multiplicative mappings. We prove the Cauchy–Rassias stability of Poisson C*-algebra homomorphisms in unital Poisson C*-algebras, and of homomorphisms in Poisson Banach modules over a unital Poisson C*-algebra.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297613
|
oai_dc
|
Strong Convergence of Modified Iteration Processes for Relatively Nonexpansive Mappings
|
Strong Convergence of Modified Iteration Processes for Relatively Nonexpansive Mappings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"김태화(부경대학교); 이화정(부경대학교)"
] |
Motivated and inspired by ideas due to Matsushida and Takahashi [J. Approx.
Theory 134(2005), 257-266] and Martinez-Yanes and Xu [Nonlinear Anal. 64(2006), 2400- 2411], we prove some strong convergence theorems of modified iteration processes for a pair (or finite family) of relatively nonexpansive mappings in Banach spaces, which improve and extend the corresponding results of Matsushida and Takahashi and Martinez-Yanes and Xu in Banach and Hilbert spaces, repectively.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297604
|
oai_dc
|
Le'vy Khinchin Formula on Commutative Hypercomplex System
|
Le'vy Khinchin Formula on Commutative Hypercomplex System
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Ahmed Moustfa Zabel(Al-Azhar Univ., Nasr City, Cairo,Egypt); Buthinah Abdullateef Bin Dehaish(Girls College of Education, Jeddah, Saudi Arabia)"
] |
A commutative hypercomplex system L1(Q,m) is, roughly speaking, a space which is defined by a structure measure (c(A,B, r), (A,B ∈ beta(Q)). Such space has been studied by Berezanskii and Krein. Our main purpose is to establish a generalization of convolution semigroups and to discuss the role of the Le'vy measure in the L´evy-Khinchin representation in terms of continuous negative definite functions on the dual hypercomplex system.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297608
|
oai_dc
|
Some Difference Double Sequence Spaces Defined By Orlicz Function
|
Some Difference Double Sequence Spaces Defined By Orlicz Function
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Binod Chandra Tripathy(Institute of Advanced Study in Science and Technology, India); Bishweshwar Choudhary(University of Botswana); Bipul Sarma(Paschim Boragaon, India)"
] |
In this article we introduce some difference sequence spaces defined by Orlicz function and study different properties of these spaces like completeness, solidity, symmetricity etc. We establish some inclusion results among them.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297614
|
oai_dc
|
On the Hyers-Ulam-Rassias Stability of the Bi-Jensen Functional Equation
|
On the Hyers-Ulam-Rassias Stability of the Bi-Jensen Functional Equation
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"전길웅(충남대학교); 한미현(충남대학교 수학과); 이양희(공주교육대학교)"
] |
In this paper, we obtain the Hyers-Ulam-Rassias stability of a bi-Jensen functional equation
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297607
|
oai_dc
|
Global Attractivity and Oscillations in a Nonlinear Impulsive Parabolic Equation with Delay
|
Global Attractivity and Oscillations in a Nonlinear Impulsive Parabolic Equation with Delay
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Xiao Wang(National University of Defense Technology, China); Zhixiang Li(National University of Defense Technology, China)"
] |
Global attractivity and oscillatory behavior of the following nonlinear impulsive
parabolic differential equation which is a general form of many population models (Equation) are considered. Some new sufficient conditions for global attractivity and oscillation of the solutions of (*) with Neumann boundary condition are established. These results not only are true but also improve and complement existing results for (*) without diffusion or impulses. Moreover, when these results are applied to the Nicholson’s blowflies model
and the model of Hematopoiesis, some new results are obtained.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297602
|
oai_dc
|
Polynomial Equation in Radicals
|
Polynomial Equation in Radicals
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Muhammad Ali Khan(King Fahd University of Petroleum and Minerals, Saudi Arabia); Muhammad Aslam(University Lahore, Pakistan)"
] |
Necessary and sufficient conditions for a radical class of rings to satisfy the
polynomial equation (R[x]) = ((R))[x] have been investigated. The interrelationship of polynomial equation, Amitsur property and polynomial extensibility is given. It has been shown that complete analogy of R.E. Propes result for radicals of matrix rings is not possible for polynomial rings.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297609
|
oai_dc
|
Meromorphic Functions with Three Weighted Sharing Values
|
Meromorphic Functions with Three Weighted Sharing Values
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Xiao-Min Li(Ocean University of China); Hong-Xun Yi(Shandong University, China)"
] |
In this paper, we prove some results on uniqueness of meromorphic functions
with three weighted sharing values. The results in this paper improve those given by H. X. Yi, I. Lahiri, T. C. Alzahary and H. X. Yi and other authors.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297610
|
oai_dc
|
An Existence Result for Neumann Type Boundary Value Problems for Second Order Nonlinear Functional Differential Equation
|
An Existence Result for Neumann Type Boundary Value Problems for Second Order Nonlinear Functional Differential Equation
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Yuji Liu(Guangdong University of Business Studies, China)"
] |
New sufficient conditions for the existence of at least one solution of Neumann
type boundary value problems for second order nonlinear differential equations
(Equation) are established.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001297615
|
oai_dc
|
On the Flatness of Semi-Cubically Hyponormal Weighted Shifts
|
On the Flatness of Semi-Cubically Hyponormal Weighted Shifts
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"이춘길(Northeastern Univ.); 안지혜(경북대학교)"
] |
Let W_{\alpha } be a weighted shift with positive weight sequence $\alpha
=\{\alpha _{i}\}_{i=0}^{\infty }. The semi-cubical hyponormality of W_{\alpha } is introduced and some flatness properties of W_{\alpha } are discussed in this note. In particular, In particular, it is proved that if $\alpha _{n}=\alpha_{n+1}$ for some $n\geq 1,$ then $\alpha_{n+k}=\alpha_{n}$ for all $k \ge 1$.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001099174
|
oai_dc
|
Approximate Solutions to the Two-cell Cubic Autocatalytic Reaction Model
|
Approximate Solutions to the Two-cell Cubic Autocatalytic Reaction Model
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"H. I. Abdel-Gawad(Cairo University (Egypt)); A. M. El-Shrae(Taiz Univeristy (Yemen))"
] |
By using an approach developed by one of the authors, approximate solutions of the initial value problem for the reaction diffusion equations in two cells are obtained.The system is considered here with two chemical species, species A and the autocatalyst B. The reaction is taken to be cubic in the autocatalysis in the rst region with linear exchange through A. In the rst region, the autocatalyst is taken to decay linearly. Approximate solutions are found through the Picard iterative sequence of solutions. The space and time variations of the concentration of the species A and B are evaluated in the two regions. The oscillation of the concentrations in times has been observed in different locations. This phenomena is stepped out for relatively large times. Comparison between two consecutive solutions is made. The maximum error estimate is of order for some appropriate time period. At this time level, the solutions obtained are adequate for laboratory simulation experiments to open systems. It is observed that no initiation to travelling waves occurs whenever the initial values of the concentrations of the reactant(or the autocatalysts) are not periodic.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001099177
|
oai_dc
|
Hyers-Ulam-Rassias Stability of an Even Functional Equation in Four Variables
|
Hyers-Ulam-Rassias Stability of an Even Functional Equation in Four Variables
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Chun-Gil Park(Chungnam National University (Korea))"
] |
In this paper, we solve the functional equation rf(x + y + z + ws) + rf(x + y z ws) + rf(x y + z ws) + rf(x y z + ws)= tf(x) + tf(y) + tf(z) + tf(w); and prove the generalized Hyers-Ulam-Rassias stability of the functional equation as given above.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000947179
|
oai_dc
|
On Universal Coefficient Sequences
|
On Universal Coefficient Sequences
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Il Bong Jung(Kyungpook National University (Korea)); Eungil Ko(Ewha Women's University (Korea)); Carl Pearcy(Texas A&M University (U.S.A.))"
] |
In this note we consider systems of simultaneous linear equations of the form AiX = Yi; i 2 I; where the Ai; X;and Yi are operators on Hilbert space, and we answer the question of when there exist “universal” coefficient sequences fAigi2 I with the property that for every sequence fYigi2 I there exists a solutionX = XfYi g to the above system.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000947180
|
oai_dc
|
Structural Properties of Generalized Hypersubstitutions
|
Structural Properties of Generalized Hypersubstitutions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Sorasak Leeratanavalee(Chiang Mai University (Thailand))"
] |
Hypersubstitutions are mappings which map ni-ary operation symbols to ni-ary terms. If a mapping from the set of all fundamental operations into the set of all terms of the same language does not necessarily preserve the arity, we called it a generalized hypersubstitution. Generalized hypersubstitutions can be extended to mappings defined on the set of all terms of the given type. In this paper, we give some structural properties of generalized hypersubstitutions.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001099175
|
oai_dc
|
Complementary Cycles in Regular Multipartite Tournaments, Where One Cycle Has Length Four
|
Complementary Cycles in Regular Multipartite Tournaments, Where One Cycle Has Length Four
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Lutz Volkmann(Lehrstull II fur Mathematik (Germany))"
] |
The vertex set of a digraph D is denoted by V(D). A c-partite tournament is an orientation of a complete c-partite graph.In 1999, Yeo conjectured that each regular c-partite tournament D with c 4 and jV(D)j 8 contains a pair of vertex disjoint directed cycles of lengths 4 and jV(D)j 4. An example will demonstrate that Yeo’s conjecture is not true in general for regular 4-partite tournaments with two vertices in each partite. However, in all other cases we shall confirm this conjecture in affirmative.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000947181
|
oai_dc
|
On Recurrent Riemannian Manifolds
|
On Recurrent Riemannian Manifolds
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Quddus Khan(Jamia Millia Islamia Central University (India))"
] |
Recurrent spaces have been of great interest and were studied by a large num-ber of authors such as Ruse ([3]), Patterson ([2]), Singh and Khan ([4], [5]) etc. In this paper, I have discussed the nature of 1-form for non-zero constant scalar curvature and non-constant scalar curvature r in a Ricci recurrent Riemannian manifold. I have obtained some results for conharmonic curvature tensor and also investigated some results for (1,3) type tensors in a Riemannian manifold.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000947204
|
oai_dc
|
Composition of Derivations on (semi) Prime I-rings
|
Composition of Derivations on (semi) Prime I-rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"M. Mehdi Ebrahimi(Shahid Beheshti University (Iran)); H. Pajoohesh(Shahid Beheshti University (Iran))"
] |
In this paper first we show that the iterationdn ; n 2; of a non zero derivation d on a semi-prime `-ring R is not a derivation, and henced can not be nilpotent. Then we see that if R is prime and d1; ;dn ; n 2; are positive derivations on R with d1 dn a derivation, then at least one of these derivations must be zero. Finally, taking R to be a semiprime f-ring, we show that if for every x 2 R; dn (x) is central, then, under some mild conditions, there is a nonzero inner derivation on R such that (x)d(x) = d(x)(x) = 0.These results generalizes and improves the ones in [3], [8], and [9]. And show that imposing an order on a ring, making it an ordered ring, gives stronger results.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000947178
|
oai_dc
|
Asymptotic Behavior of Solutions of a Class of Second Order Quasilinear Difference Equations
|
Asymptotic Behavior of Solutions of a Class of Second Order Quasilinear Difference Equations
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"E. Thandapani(Periyar University (India)); S. Pandian(Dr. Ambedkar Government Arts College (India)); R. K. Balasubramanian(Dr. Ambedkar Government Arts College (India))"
] |
In this paper, we study asymptotic behavior of solutions of a class of second order quasilinear difference equations. All proper solutions are classfied into four types by means of their asymptotic behavior. Necessary and / or suffcient conditions are given for such equations to have solutions of each of the four types.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000972776
|
oai_dc
|
On Generalized Recurrent Sasakian Manifolds
|
On Generalized Recurrent Sasakian Manifolds
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Quddus Khan(Jamia Millia Islamia Central University (India))"
] |
In the present paper, we have studied the nature of 1-forms and scalar curvature r on generalized recurrent Sasakian manifold.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000973027
|
oai_dc
|
Some Remarks on Almost α-continuous Functions
|
Some Remarks on Almost α-continuous Functions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Zbigniew Duszyńki(Academy of Bydgoszcz (Poland))"
] |
Some results concerning properties of a.α.c functions and their relationships with some other types of continuous functions are obtained.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001099129
|
oai_dc
|
Matrix Transformations on Cesaro Vector-valued Sequence Space
|
Matrix Transformations on Cesaro Vector-valued Sequence Space
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Chanan Sudsukh(Kasetsart University (Thailand)); Praiboon Pantaragphong(Mahanakorn University of Technology (Thailand)); Oravan Arunphalungsanti(Mahanakorn University of Technology (Thailand))"
] |
The purpose of this paper is to find a-dual of Cesaro vector-valued sequence space and give matrix characterizations from Ces(X;p) into sequence spaces`(q),`1 (q),M 1 (q) and `1(q), wherep = ( pk) is a bounded sequence of positive real numbers such that pk > 1 for all k 2 N.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001099176
|
oai_dc
|
Periodic Solutions in n-species Ratio-depedent Food Chain Model with Time Delays
|
Periodic Solutions in n-species Ratio-depedent Food Chain Model with Time Delays
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Qiming Liu(Shijiazhuang Mechanical Engineering College (China)); Rui Xu(Shijiazhuang Mechanical Engineering College (China))"
] |
A delayed periodic n-species ratio-dependent food chain model is investigated.By using Gaines and Mawhin’s continuation theorem of coincidence degree theory, a set of easily veriable sufficient conditions are derived for the existence of positive periodic solutions to the model.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917041
|
oai_dc
|
An Estimate on the Rate of Convergence of Bezier Type Summation-integral Operators
|
An Estimate on the Rate of Convergence of Bezier Type Summation-integral Operators
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Vijay Gupta(Netaji Subhas Institute of Technology); Vipin Vasishtha(Hindu College); Mridul KumarGupta(Charan Singh University)"
] |
In the present paper, we introduce a new sequence of linear positive operators Bn (f; x), which is the modified form of recently introduced sequence of linear positive operators [J. Math. Anal. Appl. 225(1998), 660-672]. Here we obtain an estimate on the rate of convergence of Bn; (f; x) for functions of bounded variation. In the end we also propose an open problem for the readers.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917210
|
oai_dc
|
Forced Oscillation Theorems for Systems of Neutral Hyperbolic Differential Equations
|
Forced Oscillation Theorems for Systems of Neutral Hyperbolic Differential Equations
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Wei Nian Li(Shanghai Jiaotong University); Fan Wei Meng(Shanghai Jiaotong University); Alqin Qi(Binzhou Medical College)"
] |
Sufficient conditions are established for the forced oscillation of systems of neutral hyperbolic differential equations by using a new technique. The main result is illustrated by an example.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917042
|
oai_dc
|
The Rings Cκ(X) and C∞(X) -Some Remarks
|
The Rings Cκ(X) and C∞(X) -Some Remarks
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"S.K.Acharyya(University of Calcutta); K.C. Chattopadhyay(University of Burdwan); Partha PratimGhosh(University of Calcutta)"
] |
Let X be a locally compact Hausdorff space and C1 (X ) be the ring of all real valued continuous functions on X which vanish at infinity. Suppose CK (X ) is the set of all real valued continuous functions on X which have compact support, then CK (X ) is a subring of C1 (X ). We have shown that every maximal ideal of C1 (X ) is fixed from which it follows that if CK (X ) 6= C1 (X ) then CK (X ) is a proper ideal of C1 (X ) which is not extendable to any maximal ideal. By using the same result we have further established that two, locally compact Hausdorff spaces X and Y are homeomorphic if and only if C1 (X ) and C1 (Y) (respectivelyCK (X ) and CK (Y)) are isomorphic.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917212
|
oai_dc
|
On the Stability of a Quadratic Functional Equation
|
On the Stability of a Quadratic Functional Equation
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jae-Hyeong Bae(Chungnam National University); Kil-Woung Jun(Chungnam National University); Soon-Mo Jung(Hong-Ik University)"
] |
In this paper, we prove the Hyers-Ulam-Rassias stability of the following functional equation f(x + y + z) + f(x y + z) + f(x + y z) + f( x + y + z) = 4 f(x) + 4 f(y) + 4 f(z) on the whole space. Moreover, the Hyers-Ulam stability of that equation will also be investigated for functions defined on a restricted domain.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000973834
|
oai_dc
|
On Perturbed Mid-point and Trapezoid Inequalities and Applications
|
On Perturbed Mid-point and Trapezoid Inequalities and Applications
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Nenad Ujevic(University of Split)"
] |
An improvement of perturbed trapezoid inequality is derived. Some related results for the mid-point and trapezoid inequalities are established. Applications in numerical integration are also given.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917214
|
oai_dc
|
Some Modular Forms Related to Cubic Surfaces
|
Some Modular Forms Related to Cubic Surfaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"E. Freitag(Universitat Heidelberg)"
] |
The paper contains a thorough investigation of modular forms on a certain orthogonal group of signature (2;8). Main tools are the lifting constructions of Borcherds.These results can be applied to a unitary group of signature (1;4) which occurs as sub group of the orthogonal group. This unitary group is related to cubic surfaces. Some of the results of this paper have been used without proof in a joint paper with D. Allcock: Cubic Surfaces and Borcherds Products in Commentarii Math. Helv., Vol. 77(Issue 2), 270{296, (2002).
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917215
|
oai_dc
|
Necessary and Sufficient Conditions for a Growth Condition of the Exterior Conformal Mapping in a Domain
|
Necessary and Sufficient Conditions for a Growth Condition of the Exterior Conformal Mapping in a Domain
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Kiwon Kim(Silla University)"
] |
Suppose that E is a bounded continuum whose complement in the extended complex plane is connected and that g is a conformal mapping from the complement of the closure of the unit disk in the extended complex plane to the complement of E in the extended complex plane with g(1 ) = 1 .In this paper we give some necessary and sufficient conditions for a growth condition of the exterior conformal mapping g which satisfies jg0(w)j m(11jwj2 )k; 1 < jwj < 1 for some 0 k < 1 and m > 0.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001188978
|
oai_dc
|
Unitary Interpolation Problems in Alg L
|
Unitary Interpolation Problems in Alg L
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Young Soo Jo(Keimyung University); 강주호(대구대학교)"
] |
Given operators X and Y acting on a Hilbert space H, an interpolating operator is a bounded operator A such that AX = Y. In this article, we investigate unitary operator interpolation problems in AlgL : Given operators X and Y acting on H,when does there exist a unitary operator A in AlgL such that AX = Y?
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917213
|
oai_dc
|
A Theorem on Countably Frechet-Urysohn Spaces
|
A Theorem on Countably Frechet-Urysohn Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Woo Chorl Hong(Pusan National University)"
] |
In this paper we study some properties of countably Frechet-Urysohn spaces and show a sufficient condition, which is different from the result ([3, Proposition 8.7]) of E. A. Michael, for countably Frechet-Urysohn spaces to be Frechet-Urysohn. And then we obtain a condition which is equivalent to being determined by countable subsets for countably Frechet-Urysohn spaces as a corollary. The following are our main results : Let (X;T) be a countably Frechet-Urysohn space. (1) Suppose (X;T) is sequentially compact. Then (X;T) is maximal sequentially compact if and only if (X;T) is Frechet-Urysohn.(2) Suppose (X;T) is non-sequentially compact. Then the one-point sequential compactification (X;T) of (X;T) is maximal sequentially compact if and only if (X;T) isFrechet-Urysohn.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917209
|
oai_dc
|
Extension Dimension of Stratifiable Spaces
|
Extension Dimension of Stratifiable Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Ivan Ivansic(The University of Zagreb); Leonard R. Rubin(The University of Oklahoma)"
] |
We prove a theorem on the existence of extension dimension for stratifiable spaces relative to the class of all CW-complexes. Since the class of stratifiable spaces contains that of metrizable spaces, then our result applies to metrizable spaces. In order to achieve this we introduce the class of so called dd-spaces. We define X to be a dd-space if it has the property that dimX K for every contractible CW-complex K . A wedge theorem for dd-spaces is then shown to be true. This is used in proving that the extension dimension of a given stratifiable space is always represented by a certain wedge of polyhedra. We also show that our techniques would apply to determine the existence of extension dimension for any class of compact Hausdorff spaces relative to the class of all CW-complexes.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917039
|
oai_dc
|
On Baskakov-Szasz Type Operators
|
On Baskakov-Szasz Type Operators
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Vijay Gupta(Netaji Subhas Institute of Technology); Prerna Maheshwari(Bareillt College)"
] |
Baskakov-Szasz type operators were recently introduced by Gupta and Srivastava in 1993. They obtained direct theorems in simultaneous approximation for the linear combinations of these new sequence of operators. In the present paper, we extend the results of Gupta and Srivastava and obtain a converse result for the linear combinations of these Baskakov-Szasz type operators.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917211
|
oai_dc
|
On Difference Algebras
|
On Difference Algebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Eun Hwan Roh(Chinju National University of Education); Seon Yu Kim(Chinju National University of Education); Young Bae Jun(Gyeongsang National University); Wook Hwan Shim(Gyeongsang National University)"
] |
In this paper, we introduce the concept of the quotient difference algebra via an ideal and investigate some related properties.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917040
|
oai_dc
|
Some Inequalities for n-time Differentiable Mappings and Applications
|
Some Inequalities for n-time Differentiable Mappings and Applications
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Dah-Yang Hwang(Kuang Wu Institute of Technology)"
] |
Several inequalities are obtained for some n-time differentiable convex mappings that are connected with the celebrated Hermite-Hadamard's integral inequality. Also a parallel development is made base on concavity.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000973835
|
oai_dc
|
Holomorphic Distribution on Pseudo-Einstein Real Hypersurfaces of a Complex Space Form
|
Holomorphic Distribution on Pseudo-Einstein Real Hypersurfaces of a Complex Space Form
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Tee-How Loo(Tunku Abdul Rahman College)"
] |
In this paper we characterize pseudo-Einstein real hypersurfaces of a non-flat complex space form under certain conditions on the holomorphic distribution.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000973836
|
oai_dc
|
The Sum of Two Radical Classes of Hemirings
|
The Sum of Two Radical Classes of Hemirings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Muhammad Zulfiqar(Government College)"
] |
In this paper, we extend the notion of the sum of two radical classes of rings due to Y. Lee and R. E. Propes [2] to the sum of radical classes of hemirings. A few results of [2] can be concluded from this paper.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001185305
|
oai_dc
|
A Generalization of the Hyers-Ulam-Rassias Stability of the Pexiderized Quadratic Equations, II
|
A Generalization of the Hyers-Ulam-Rassias Stability of the Pexiderized Quadratic Equations, II
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Kil-Woung Jun(Chungnam National University); Yang-Hi Lee(Kongju National University of Education)"
] |
In this paper we prove the HyersUlamRassias stability by considering thecases that the approximate remainder' is dened byf(xy)+ f(xy1) 2g(x) 2g(y) ='(x;y), f(x y) + g(x y1) 2h(x) 2k(y) = '(x;y), where (G;) is a group,X is areal or complex Hausdor topological vector space andf;g;h;kare functions fromG into X.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001050426
|
oai_dc
|
Meromorphic Functions with Weighted Sharing of One Set
|
Meromorphic Functions with Weighted Sharing of One Set
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Thamir C. Alzahary(Harbin Engineering University)"
] |
In this article, we investigate the problem of uniqueness of meromorphicfunctions sharing one set and having decient values, and obtain a result which improvessome earlier results.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001185304
|
oai_dc
|
Oscillation and Nonoscillation of Nonlinear Neutral Delay Differential Equations with Several Positive and Negative Coefficients
|
Oscillation and Nonoscillation of Nonlinear Neutral Delay Differential Equations with Several Positive and Negative Coefficients
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Elmetwally M. Elabbasy(Mansoura University); Taher S. Hassan(Mansoura University); Samir H. Saker(Mansoura University)"
] |
In this paper, oscillation and nonoscillation criteria are established for non-linear neutral delay dierential equations with several positive and negative coecients[x (t) R (t)x (t r)]0+mXi=1Pi (t)Hi (x (t i))nXj =1Qj (t)Hj (x (t j )) = 0:Our criteria improve and extend many results known in the literature. In addition we provethat under appropriate hypotheses, if every solution of the associated linear equation withconstant coecients,y0(t) +mXi=1(pi Xk2 Jiqk)y (t i) = 0 ;oscillates, then every solution of the nonlinear equation also oscillates.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001047520
|
oai_dc
|
Note on σ-derivations in Near-rings and Reduced Near-rings
|
Note on σ-derivations in Near-rings and Reduced Near-rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Arjunan Asokkumar(Aditanar College)"
] |
We study -derivations on reduced near-rings and extend certain results onderivations to-derivations with some conditions.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001047519
|
oai_dc
|
New Two-Weight Imbedding Inequalities for A-Harmonic Tensors
|
New Two-Weight Imbedding Inequalities for A-Harmonic Tensors
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Gao Hongya(Hebei University); Chen Yanmin(Hebei University); Chu Yuming(Huzhou Normal College)"
] |
In this paper, we rst dene a new kind of two-weight-A3r (1;2;Ω)-weight,and then prove the imbedding inequalities for A-harmonic tensors. These results can beused to study the weighted norms of the homotopy operatorT from the Banach spaceLp(D;V l) to the Sobolev spaceW1; p(D;V l 1),l = 1 ;2; ;n, and to establish the basicweighted Lp-estimates forA-harmonic tensors.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001050644
|
oai_dc
|
PF-rings of Generalized Power Series
|
PF-rings of Generalized Power Series
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"김환구(Hoseo University); Tae In Kwon(Changwon National University)"
] |
In this paper, we show that ifR is a commutative ring with identity and (S; )is a strictly totally ordered monoid, then the ring [[RS; ]] of generalized power series is aPF-ring if and only if for any twoS-indexed subsetsA and B ofR such thatB ann R(A),there existsc 2 ann R(A) such thatbc= b for allb 2 B, and that for a Noetherian ringR,[[RS; ]] is a PP ring if and only ifR is a PP ring.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001050645
|
oai_dc
|
Metric and Spectral Geometric Means on Symmetric Cones
|
Metric and Spectral Geometric Means on Symmetric Cones
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Yongdo Lim(Kyungpook National University); 이호수(영남대학교)"
] |
In a development of ecient primal-dual interior-points algorithms for self-scaled convex programming problems, one of the important properties of such cones isthe existence and uniqueness of “scaling points”. In this paper through the identicationof scaling points with the notion of “(metric) geometric means” on symmetric cones, weextend several well-known matrix inequalities (the classical L¨owner-Heinz inequality, Andoinequality, Jensen inequality, Furuta inequality) to symmetric cones. We also develop atheory of spectral geometric means on symmetric cones which has recently appeared inmatrix theory and in the linear monotone complementarity problem for domains associatedto symmetric cones. We derive Nesterov-Todd inequality using the spectral property ofspectral geometric means on symmetric cones.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001050642
|
oai_dc
|
Stability of Iterative Sequences Approximating Common Fixed Point for a System of Asymptotically Quasi-nonexpansive Type Mappings
|
Stability of Iterative Sequences Approximating Common Fixed Point for a System of Asymptotically Quasi-nonexpansive Type Mappings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jun Li(China West Normal University); Nan-jing Huang(Sichuan University); 조열제(경상대학교)"
] |
In this paper, we introduce the concept of a system of asymptotically quasi-nonexpansive type mappings. Furthermore, we dene ak-step iterative sequence ap-proximating common xed point for a system of asymptotically quasi-nonexpansive typemappings and study its stability in real Banach spaces.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001050424
|
oai_dc
|
On Semicommutative Modules and Rings
|
On Semicommutative Modules and Rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Nazim Agayev(Abant Izzet Baysal University); Abdullah Harmanci(Hacettepe University)"
] |
We say a module M R a semicommutative moduleif for anym 2 M and anya 2 R, ma = 0 implies mRa = 0. This paper gives various properties of reduced, Ar-mendariz, Baer, Quasi-Baer,p:p:and p:q:-Baer rings to extend to modules. In additionwe also prove, for a p.p.-ringR,R is semicommutative iR is Armendariz. LetR be anabelian ring and M R be a p:p:-module, thenM R is a semicommutative module iM R isan Armendariz module. For any ring R,R is semicommutative iA(R;) is semicommu-tative. LetR be a reduced ring, it is shown that for numbern 4 and k = [n=2];Tkn (R)is semicommutative ring butTk 1n (R) is not.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001047518
|
oai_dc
|
A Note on the Spectral Mapping Theorem
|
A Note on the Spectral Mapping Theorem
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"정일봉(경북대학교); 고응일(이화여자대학교); Carl Pearcy(Texas A&M University)"
] |
In thisnotewe pointout how a theoremofGamelin and Garnettfromfunctiontheory can be used to establish a spectralmapping theoremforan arbitrarycontractionand an associated classofH^{\infty} -functions.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001050643
|
oai_dc
|
Linear Derivations Satisfying a Functional Equation on Semisimple Banach Algebras
|
Linear Derivations Satisfying a Functional Equation on Semisimple Banach Algebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Yong-Soo Jung(Seowon University); Ick-Soon Chang(Mokwon University)"
] |
In this paper, we investigate the following: LetA be a semisimple Banachalgebra. Suppose that there exists a linear derivationf :A ! A such that the functionalequation hf(x);xi2 = 0 holds for all x 2 A. Then we have f = 0 on A.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001047517
|
oai_dc
|
On the Stability of Orthogonally Cubic Functional Equations
|
On the Stability of Orthogonally Cubic Functional Equations
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Choonkil Baak(Chungnam National University); Mohammad Sal Moslehian(Ferdowsi University)"
] |
Letf denote a mapping from an orthogonality space (X;? ) into a real Banachspace Y. In this paper, we prove the HyersUlamRassias stability of the orthogonallycubic functional equations f(2x + y) + f(2x y) = 2 f(x + y) + 2 f(x y) + 12 f(x) andf(x + y +2 z)+ f(x + y 2z)+ f(2x)+ f(2y) = 2 f(x + y)+4 f(x + z)+4 f(x z)+4 f(y +z) + 4 f(y z), wherex ? y;y? z;x? z.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART001050425
|
oai_dc
|
Stability and Optimal Harvesting in Lotka-Volterra Competition Model for Two-species with Stage Structure
|
Stability and Optimal Harvesting in Lotka-Volterra Competition Model for Two-species with Stage Structure
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"J. F. M. Al-Omari(Al-Balqa' Applied University)"
] |
In this paper, we consider a delay dierential equation model of two compet-ing species with harvesting of the mature and immature members of each species. Thetime delay in the model represents the time from birth to maturity of that species, whichappears in the adults recruitment terms. We study the dynamics of our model analyticallyand we present results on positivity and boundedness of the solution, conditions for theexistence and globally asymptotically stable of equilibria, a threshold of harvesting, andthe optimal harvesting of the mature populations of each species.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917084
|
oai_dc
|
Poisson Maximal Operators
|
Poisson Maximal Operators
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"YOON JAE YOO(Kyungpook National University)"
] |
Several properties of the Poisson maximal operator Mf(x,t) defined on R^{n+1}_{+}, given by Mf(x,t)=sup{ }, were investigated. Some of these properties generalize those of the Hardy-Littlewood maximal operator. In particular, a certain relation between Zygmund class and the Hardy-Littlewood maximal operator is established in terms of Poisson Maximal operator and a relation between the Hardy-Littlewood maximal operator and the sharp maximal operator is shown to be extended to a relation between the poisson maximal operator and a generalized sharp maximal operator f^{#} given by f^{#}=sup ,where the sup is taken over all the cubes containing x with l(Q)>_t, and fQ is the average of f over Q.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917050
|
oai_dc
|
A Characterization of Right Artinian Rings
|
A Characterization of Right Artinian Rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"A. GHORBANI(Isfahan University of Technology)"
] |
It is proved that right Artinian rings are precisely the right Noetherian rings R that lack finitely generated ξ(N)-torsion right R-modules with prime annihilator, where N is the prime radical of R.
|
수학
| null |
kci_detailed_000039.xml
|
|||
ART000917051
|
oai_dc
|
On a Construction of Plane Sets with Pre-assigned Metric Dimensions
|
On a Construction of Plane Sets with Pre-assigned Metric Dimensions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"SOON-MO JUNG(Hong-Ik University); BO-HYUN CHUNG(Hong-Ik University); BYUNGBAE KIM(Hong-Ik University)"
] |
In this paper, some results of S.-M. Jung[3] will be generalized as follows: For a given 0<r<2, a compact and uncountable plane set Cr which satisfies dim_B C_r=r and ,for all ,shall be constructed. This gives negative answers to the question whether Marstrand's theorem is also true when 'Hausdorff dimension's in the statement of the theorem are replaced by 'metric dimension's. In the case when 0<s<1, we shall investigate a method to construct compact uncountable plane sets E with .Furthermore, we shall construct a compact and uncountable plane set F with dim_B F>1 and dim_B proj F=1 for all .
|
수학
| null |
kci_detailed_000039.xml
|
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