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Korean Journal of Mathematics
Journal Basic Information
pISSN :
1976-8605
eISSN :
2288-1433
Journal DOI :
10.11568/kjm
Frequency :
Others
Publisher:
The Kangwon-Kyungki Mathematical Society
Editor in Chief :
Volume & Issues
Volume 16, Issue 4 - Dec 2008
Volume 16, Issue 3 - Sep 2008
Volume 16, Issue 2 - Jun 2008
Volume 16, Issue 1 - Mar 2008
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1
THE NON-EXISTENCE AND EXISTENCE OF POSITIVE SOLUTION TO THE COOPERATION MODEL WITH GENERAL COOPERATION RATES
Kang, Joon-Hyuk ; Lee, Jung-Ho ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 259~269
Abstract
The non-existence and existence of the positive solution for the generalized cooperation biological model for two species of animals
are investigated. The techniques used in this paper are elliptic theory, upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties for the solution of logistic equations.
2
SOME RESULTS OF
-GROUP STRUCTURES
Cho, Yong-Uk ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 271~280
Abstract
In this paper, we initiate a study of faithful
-group
and some substructures of
and
. Next, we investigate a faithful representation of near-ring
and some properties of monogenic
-groups.
3
SOME PROPERTIES OF
MODULES AND
GROUPS
Cho, Yong-Uk ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 281~290
Abstract
The purpose of this paper,
modules are defined as a generalization of
rings. Also, from the faithful
-property, we get a commutativity of rings. Finally, for a nearring
, we will introduce
groups, and also derive some properties of
modules and
groups.
4
R-SEMI-GENERALIZED FUZZY COMPACTNESS
Park, Chun-Kee ; Min, Won-Keun ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 291~300
Abstract
In this paper, we introduce several types of r-semi-generalized fuzzy compactness and fuzzy r-compactness in fuzzy topological spaces and investigate the relations between these compactness.
5
A NOTE ON THE RETURN TIME OF STURMIAN SEQUENCES
Kim, Dong-Han ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 301~307
Abstract
Let
be the the first return time to its initial n-word. Then the Ornstein-Weiss first return time theorem implies that log
divided by n converges to entropy. We consider the convergence of log
for Sturmian sequences which has the lowest complexity. In this case, we normalize the logarithm of the first return time by log n. We show that for any numbers
, there is a Sturmian sequence of which limsup is
and liminf is
.
6
EXISTENCE OF INFINITELY MANY SOLUTIONS OF THE NONLINEAR HIGHER ORDER ELLIPTIC EQUATION
Jung, Tack-Sun ; Choi, Q.-Heung ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 309~322
Abstract
We prove the existence of infinitely many solutions of the nonlinear higher order elliptic equation with Dirichlet boundary condition
in
, where
is an integer and
is a bounded domain with smooth boundary, when q(x,u) satisfies some conditions.
7
INJECTIVE AND PROJECTIVE PROPERTIES OF REPRESENTATIONS OF QUIVERS WITH
EDGES
Park, Sang-Won ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 323~334
Abstract
We define injective and projective representations of quivers with two vertices with
arrows. In the representation of quivers we denote n edges between two vertices as
and n maps as
, and
(n times) as
. We show that if E is an injective left
-module, then
is an injective representation of
where
{1, 2,
, n}. Dually we show that if
is an injective representation of a quiver
then
and
are injective left
-modules. We also show that if
is a projective left
-module, then
is a projective representation of
where
is the
th injection. And if
is an projective representation of a quiver
then
and
are projective left
-modules.
8
FOURIER-YEH-FEYNMAN TRANSFORM AND CONVOLUTION ON YEH-WIENER SPACE
Kim, Byoung-Soo ; Yang, Young-Kyun ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 335~348
Abstract
We define Fourier-Yeh-Feynman transform and convolution product on the Yeh-Wiener space, and establish the existence of Fourier-Yeh-Feynman transform and convolution product for functionals in a Banach algebra
. Also we obtain Parseval's relation for those functionals.
9
ON PROPERTIES OF QUASI-CLASS
OPERATORS
Lee, Jae-Won ; Jeon, In-Ho ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 349~353
Abstract
Let the set of all quasi-class
operators for which ker
ker
be denoted by
. In this paper it is proved that an operator
is normal if and only if the Duggal transform of
is normal.
10
UNIQUE POSITIVE SOLUTION FOR A CLASS OF THE SYSTEM OF THE NONLINEAR SUSPENSION BRIDGE EQUATIONS
Jung, Tack-Sun ; Choi, Q-Heung ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 355~362
Abstract
We prove the existence of a unique positive solution for a class of systems of the following nonlinear suspension bridge equation with Dirichlet boundary conditions and periodic conditions
where
are small number and $h_1(x,t)$, $h_2(x,t)$ are bounded,
-periodic in t and even in x and t and
. Wefirst show that the system has a positive solution, and then prove the uniqueness by the contraction mapping principle on a Banach space
11
S-DISTAL EXTENSIONS OF FLOWS
Kim, Young-Key ; Park, Woo-Hwan ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 363~367
Abstract
In this paper, we define the S-distal flow and S-distal homomorphism which are motivated by the distal flow and the distal homomorphism respectively and obtain some results and that an Sdistal extension of an S-distal flow is S-distal.
12
ON THE STABILITY OF PEXIDER TYPE TRIGONOMETRIC FUNCTIONAL EQUATIONS
Kim, Gwang-Hui ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 369~378
Abstract
The aim of this paper is to study the stability problem for the pexider type trigonometric functional equation f(x+y)-f(x-y)=2g(x}h(y), which is related to the d'Alembert, the Wilson, the sine, and the mixed trigonometric functional equations.
13
LINDEL
FICATION OF BIFRAMES
Khang, Mee-Kyoung ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 379~388
Abstract
We introduce countably strong inclusions
on a biframe
and i-strongly regular
-ideals (i =1, 2) and then using them, we construct biframe Lindel6fication of L. Furthermore, we obtain a sufficient condition for which L has a unique countably strong inclusion.
14
MULTIPLE SOLUTIONS FOR A CLASS OF THE SYSTEMS OF THE CRITICAL GROWTH SUSPENSION BRIDGE EQUATIONS
Jung, Tack-Sun ; Choi, Q-Heung ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 389~402
Abstract
We show the existence of at least two solutions for a class of systems of the critical growth nonlinear suspension bridge equations with Dirichlet boundary condition and periodic condition. We first show that the system has a positive solution under suitable conditions, and next show that the system has another solution under the same conditions by the linking arguments.
15
FUZZY LATTICES
Chon, In-Heung ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 403~412
Abstract
We define the operations
and
for fuzzy sets in a lattice, characterize fuzzy sublattices in terms of
and
, develop some properties of the distributive fuzzy sublattices, and find the fuzzy ideal generated by a fuzzy subset in a lattice and the fuzzy dual ideal generated by a fuzzy subset in a lattice.
16
STABILITY OF FUNCTIONAL EQUATIONS ASSOCIATED WITH INNER PRODUCT SPACES: A FIXED POINT APPROACH
Park, Croon-Kil ; Hur, Jae-Sung ; Min, Won-June ; Nam, Dong-Hoon ; Ror, Seung-Hyeon ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 413~424
Abstract
In [21], Th.M. Rassias proved that the norm defined over a real vector space V is induced by an inner product if and only if for a fixed integer n
2
holds for all
. We consider the functional equation
Using fixed point methods, we prove the generalized Hyers-Ulam stability of the functional equation
17
COMBINATORIAL PROOF FOR e-POSITIVITY OF THE POSET OF RANK 1
Lee, Jae-Jin ;
Korean Journal of Mathematics, volume 16, issue 3, 2008, Pages 425~437
Abstract
Let P be a poset and G = G(P) be the incomparability graph of P. Stanley [7] defined the chromatic symmetric function
which generalizes the chromatic polynomial
of G, and showed all coefficients are nonnegative in the e-expansion of XG(P) for a poset P of rank 1. In this paper, we construct a sign reversing involution on the set of special rim hook P-tableaux with some conditions. It gives a combinatorial proof for (3+1)-free conjecture of a poset P of rank 1.