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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 49, Issue 4 - Dec 2009
Volume 49, Issue 3 - Sep 2009
Volume 49, Issue 2 - Jun 2009
Volume 49, Issue 1 - Mar 2009
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1
Regularity for Very Weak Solutions of A-Harmonic Equation with Weight
Gao, Hong-Ya ; Zhang, Yu ; Chu, Yu-Ming ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 195~202
DOI : 10.5666/KMJ.2009.49.2.195
Abstract
This paper deals with very weak solutions of the A-harmonic equation
= 0 (*) with the operator
satisfies some coercivity and controllable growth conditions with Muckenhoupt weight. By using the Hodge decomposition with weight, a regularity property is proved: There exists an integrable exponent
< p, such that every very weak solution
with
< r < p belongs to
. That is, u is a weak solution to (*) in the usual sense.
2
Some Properties of (y) Class Operators
Bachir, Ahmed ; Mecheri, Salah ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 203~209
DOI : 10.5666/KMJ.2009.49.2.203
Abstract
In this paper we study some spectral properties of the class (y) operators and we will investigate on the relation between this class and other usual classes of operators.
3
Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is Cyclic-Ryan Parallel
De Dios Perez, Juan ; Santos, Florentino Garcia ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 211~219
DOI : 10.5666/KMJ.2009.49.2.211
Abstract
We classify real hypersurfaces in complex projective space whose structure Jacobi operator satisfies a certain cyclic condition.
4
On the Relationship between Zero-sums and Zero-divisors of Semirings
Hetzel, Andrew J. ; Lufi, Rebeca V. Lewis ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 221~233
DOI : 10.5666/KMJ.2009.49.2.221
Abstract
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.
5
Meromorphic Function Sharing Two Small Functions with Its Derivative
Liu, Kai ; Qi, Xiao-Guang ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 235~243
DOI : 10.5666/KMJ.2009.49.2.235
Abstract
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) =
share the value 0 CM, and share b(z) IM,
, f
g, where
,
and b(z) are small functions of f(z).
6
The Hahn-Banach Theorem on Arbitrary Groups
Huang, Jianfeng ; Li, Yongjin ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 245~254
DOI : 10.5666/KMJ.2009.49.2.245
Abstract
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.
7
On Quasi-Baer and p.q.-Baer Modules
Basser, Muhittin ; Harmanci, Abdullah ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 255~263
DOI : 10.5666/KMJ.2009.49.2.255
Abstract
For an endomorphism
of R, in [1], a module
is called
-compatible if, for any
and
, ma = 0 iff
= 0, which are a generalization of
-reduced modules. We study on the relationship between the quasi-Baerness and p.q.-Baer property of a module MR and those of the polynomial extensions (including formal skew power series, skew Laurent polynomials and skew Laurent series). As a consequence we obtain a generalization of [2] and some results in [9]. In particular, we show: for an
-compatible module
(1)
is p.q.-Baer module iff
is p.q.-Baer module. (2) for an automorphism
of R,
is p.q.-Baer module iff
is p.q.-Baer module.
8
On Applications of Differential Subordination to Certain Subclass of Multivalent Functions
Aghalary, Rasoul ; Wang, Zhi-Gang ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 265~281
DOI : 10.5666/KMJ.2009.49.2.265
Abstract
In the present paper, we introduce and investigate a new subclass of multivalent functions associated with the Cho-Kwon-Srivastava operator
. Such results as inclusion relationships, convolution properties and criteria for starlikeness are proved. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.
9
On Comaximal Graphs of Near-rings
Dheena, Patchirajulu ; Elavarasan, Balasubramanian ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 283~288
DOI : 10.5666/KMJ.2009.49.2.283
Abstract
Let N be a zero-symmetric near-ring with identity and let
be a graph with vertices as elements of N, where two different vertices a and b are adjacent if and only if
+
= N, where
is the ideal of N generated by x. Let
be the subgraph of
generated by the set {n
N :
= N} and
be the subgraph of
generated by the set
, where
is the set of all vertices of a graph G. In this paper, we completely characterize the diameter of the subgraph
of
. In addition, it is shown that for any near-ring,
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
is the graph obtained by removing the elements of the set M(N) from the vertices set of the graph
.
10
Stability of Quartic Mappings in Non-Archimedean Normed Spaces
Mirmostafaee, Alireza Kamel ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 289~297
DOI : 10.5666/KMJ.2009.49.2.289
Abstract
We establish a new method to prove Hyers-Ulam-Rassias stability of the quartic functional equation f(2x + y) + f(2x - y) + 6f(y) = 4[f(x + y) + f(x - y) + 6f(x)] in non-Archimedean normed linear spaces.
11
Almost Periodic Processes in Ecological Systems with Impulsive Perturbations
Stamov, Gani Trendafilov ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 299~312
DOI : 10.5666/KMJ.2009.49.2.299
Abstract
In the present paper we investigate the existence of almost periodic processes of ecological systems which are presented with nonautonomous N-dimensional impulsive Lotka Volterra competitive systems with dispersions and fixed moments of impulsive perturbations. By using the techniques of piecewise continuous Lyapunov's functions new sufficient conditions for the global exponential stability of the unique almost periodic solutions of these systems are given.
12
On Local Properties of Factored Fourier Series
Bor, Huseyin ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 313~319
DOI : 10.5666/KMJ.2009.49.2.313
Abstract
In the present paper, a theorem dealing with local property of
summability of factored Fourier series which generalizes a result of Mazhar [8], has been proved. Some new results have also been obtained.
13
Lower Bounds on Boundary Slope Diameters for Montesinos Knots
Ichihara, Kazuhiro ; Mizushima, Shigeru ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 321~348
DOI : 10.5666/KMJ.2009.49.2.321
Abstract
In this paper, we give two lower bounds on the diameter of the boundary slope set of a Montesinos knot. One is described in terms of the minimal crossing numbers of the knots, and the other is related to the Euler characteristics of essential surfaces with the maximal/minimal boundary slopes.
14
Coefficient Estimates in a Class of Strongly Starlike Functions
Sokol, Janusz ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 349~353
DOI : 10.5666/KMJ.2009.49.2.349
Abstract
In this paper we consider some coefficient estimates in the subclass
of strongly starlike functions defined by a certain geometric condition.
15
Langlands Functoriality Conjecture
Yang, Jae-Hyun ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 355~387
DOI : 10.5666/KMJ.2009.49.2.355
Abstract
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.
16
A Note on GQ-injectivity
Kim, Jin-Yong ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 389~392
DOI : 10.5666/KMJ.2009.49.2.389
Abstract
The purpose of this note is to improve several known results on GQ-injective rings. We investigate in this paper the von Neumann regularity of left GQ-injective rings. We give an answer a question of Ming in the positive. Actually it is proved that if R is a left GQ-injective ring whose simple singular left R-modules are GP-injective then R is a von Neumann regular ring.
17
On a New Hilbert-type Integral Inequality
Xin, Dongmei ;
Kyungpook mathematical journal, volume 49, issue 2, 2009, Pages 393~401
DOI : 10.5666/KMJ.2009.49.2.393
Abstract
By introducing a parameter and estimating the weight coefficient, we obtain a new Hilbert-type integral inequality with a composite kernel and a best constant factor. As applications, we also consider its equivalent forms and reverse forms.