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Kyungpook mathematical journal
Journal Basic Information
pISSN :
1225-6951
eISSN :
0454-8124
Journal DOI :
10.5666/KMJ
Frequency :
Others
Publisher:
Department of Mathematics, Kyungpook National University
Editor in Chief :
Sang-Dong Kim
Volume & Issues
Volume 37, Issue 2 - Dec 1997
Volume 37, Issue 1 - Jun 1997
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1
On the Cauchy Problem for Some Parabolic Partial Differential Equations with Time Delays
El-Borai, Mahmoudm ; Asaad, Farouk K. ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 1~1
Abstract
The Cauchy problem for some parabolic partial differential equations of higher orders and with time delays is considered. The existence and uniqueness theorems of this problem is studied. Some smoothness properties with respect to the parameters of these delay partial differential equations are considered.
2
Sturm-Liouville Equation of Fractional Order
El-Sayed, A.M.A. ; Gaafar, F.M. ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 9~9
Abstract
In this work we define the Sturm-Liouville equation of fractional order and prove the continuation of it to the usual Sturm-Liouville equation. We study the initial value problem of the Sturm-Liouville equation of fractional order, and prove some properties of the solution. As an application we consider two eigenvalue problems of fractional differential operator.
3
Nonoscillatory Solutions of Second Order Functional Differential Equations
Liu, Zheng-Rong ; Yu, Yuan-Hong ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 19~19
Abstract
4
Basic Theory, Exponential Estimates and Global Existence Uniqueness of Solutions for a Class of Singular Linear Functional Differential Equations with Delay
Yuanqing, Li ; Yongqing, Liu ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 27~27
Abstract
This paper establishes the basic theory of a type of singular linear functional differential equations with delay, including existence, uniqueness, continuation of solution, then discusses the exponential estimates, global existence and uniqueness of solution.
5
On the Asymptotic Behaviour of Some Nonlinear Parabolic Systems
El-Borai, Mahmoud M. ; Assaad, Farouk K. ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 37~37
Abstract
We study the existence and uniqueness and asymptotic behaviour of the solutions of the Cauchy problem for some non-linear parabolic systems of the form
, i = 1, 2, 3, where
is the n-dimensional Euclidean space and (
) is a family of square matrices whose elements are sufficiently smooth functions on
. It is supposed that
and
for all $x\;{\in}\;R^n,\;t\;{\in}\;[0,{\circleddash}),\;|{\mu|\;<\;M$, where
. The considered problem is solved under a suitable condition on
by using Liapunov function.
6
Some Multivalently Starlike Functions with Negative Coefficients and Their Subclasses Defined by Using a Differential Operator
Irmak, H. ; Lee, Sang-Hun ; Cho, Nak-Eun ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 43~43
Abstract
Making use of a differential operator, we introduce and study a certain class
of p-valently analytic functions with negative coefficients in the open unit disk U, and obtain a necessary and sufficient condition for a function to be in the class
. The object of the present paper if to several interesting properties of functions belonging to the class
.
7
Dimensions of the Perturbed Random Cantor Sets
Baek, In-Soo ; Lee, Hung-Hwan ; Kim, Tae-Sik ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 53~53
Abstract
8
On Some Radius Results for Certain Analytic Functions
Kim, Yong-Chan ; Nunokawa, Mamoru ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 61~61
Abstract
In this paper, we investigate some radius results of the function $f(z)=z+{\sum}_{n=2}^{\infty}a_nz^n(|z|\;<\;1)$ with
for all
.
9
On Conjugate EP Matrices
Meenakshi, Ar. ; Indira, R. ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 67~67
Abstract
In this paper characterization of conjugate EP(con-EP) matrices or range symmetric matrices are given and the condition for the existence of the group inverse of a con-EP matrix are determined. The relation between con-EP and congruence normality of matrices are studied.
10
Weak Cancellation Modules
Naoum, Adil G. ; Mijbass, Ali S. ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 73~73
Abstract
11
Cyclically Invariant Sets of Recurring Sequences over a Vector Space
Ai-Zaid, Hassan ; Singh, Surjeet ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 83~83
Abstract
Let F be a Galois field positive integer and
. The set
of all sequences over
is a left R-module. For any regular
, the set
is finite left F[D]-module whose members are ultimately periodic. Consider the cyclic permutation
is said to be cyclically invariant if for any
the sequence
, where
is obtained from
by applying
to the entries of
is in
. Here cyclically invariant
are studied and their connection with construction of recurring planes is emphasised.
12
The Variety Boolean Semiring
Chajda, I. ; Kotrle, M. ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 93~93
Abstract
13
Commutativity in Rings with Unity and its Generalizations
Giri, R. D. ; Tiwari, Shraddha ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 99~99
Abstract
In this paper we have proved three theorems for commutativity of rings, one for a ring with unity and the another two for left s-unital and right s-unital rings respectively. For these theorems we consider the identities
and
such that for every x, y in R, there exists
with
and m, n, p are non-negative integers depending on x. In the end we give counter examples to show that the conditions taken to prove our theorems are essential.
14
A Generalization of the Theorem of Giri and Wazalwar
Lee, Sang-Keun ; Kwon, Young-In ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 109~109
Abstract
In this paper, we give the improvement of the results of Giri and Wazalwar.
15
Using a Set to Construct a Group Topology
Clay, Ellen ; Clark, Bradd ; Schneider, Victor ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 113~113
Abstract
The usual topology on the real line can be constructed in a natural fashion from the set
. It along with its opposite set
and translates of these sets forms a subbasis for the usual topology. Hence the coarsets group topology on the reals containing the set
is the usual topology. Many group topologies can be generated in this fashion. This paper will consider which group topologies can be generated in this fashion and which sets may be used to generate the topology.
16
On Locally Sierpinski Spaces
Rostami, M. ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 117~117
Abstract
A topological space is called locally Sierpinski space if every point has a neighbourhood homeomorphic to a Sierpinski space. In this note we discuss some properties of locally Sierpinski spaces, and prove that these spaces are Katetov
spaces. We also consider the product of these spaces and introduce a new space.
17
Fixed Point Theory on Seifert Manifolds Modeled on
Kang, Eun-Sook ; Lee, Kyung-Bai ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 123~123
Abstract
18
Order-Separating Biframes for Ordered Topological Spaces
Choe, Tae-Ho ; Chae, Yun-Ki ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 135~135
Abstract
In [3] the concept of biframe has been introduced. The dual adjoint
U between bitopological spaces and biframes has been established, and the largest duality in the adjoint is completely determined. In [6], the dual adjoint S
C between convex ordered topological spaces and biframes is also established and largest duality in this adjoint is determined. As a characterized theorem, the compact ordered spaces correspond precisely to order-separating compact regular biframes. In this paper, the compactification of biframes and the compactification of bispaces are investigated. Another aim of this note is to provide an alternative construction of compactifications for order-separating biframes by the use of strong inclusions. Finally we review that convex ordered topological spaces and consistent bispaces are equivalent.
19
Supporting Function in Riemannian Manifolds without Focal Points
Beltagy, M. ; Sakr, I. A. ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 145~145
Abstract
In this paper the Busemann function in a complete simply connected smooth Riemannian manifold
without focal points is used to define a supporting function for hypersurfaces of
. This last function is used to derive a necessary and sufficient condition for a closed hypersurface of
to be a geodesic sphere.
20
Fredholm-Regularity of Floer's Holomorphic Trajectories on
Manifolds
Oh, Yong-Geun ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 153~153
Abstract
We prove that any solution of the following Floer's J-holomorphic trajectory equation for the map
,
$$u({\tau},\;1)\;{\subset}\;L_1\;and\;\int|{\nabla}u|^2\;<\;{\infty}$$. is always Fredholm-regular, i.e, its linearization is surjective, provided (M,
, J) is a
manifold with non-negative holomorphic bisectional curvature and
are two compact totally geodesic Lagrangian submanifolds that intersect transversely. This clarifies some ad-hoc Fredholm-regularity result proven before by the author in relation to the Arnol'd conjecture and the Floer homology for the real forms of compact Hermitian symmetric spaces.
21
On Foliated Real Hypersurfaces in
in Terms of Type Number
Suh, Young-Jin ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 165~165
Abstract
When the type number of a real hypersurface M in a complex projective space
is equal to 3, we want to show that M is congruent to a real hypersurface foliated by the leaf of codimension 2 in a totally geodesic complex hyperplane
of
as a ruled real hypersurface.
22
On Almost Parallel Submanifolds in
Shin, Yang-Jae ; Takagi, Ryoichi ;
Kyungpook mathematical journal, volume 37, issue 1, 1997, Pages 175~175
Abstract
We give a geometric sufficient condition for almost parallel submanifolds in the sphere
to be parallel.