Go to the main menu
Skip to content
Go to bottom
REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
search word
HOME
>
Journal Browse
>
About Journal
> Journal Vol & Issue
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 :
Gi-Sang Cheon
Volume & Issues
Volume 12, Issue 2 - Dec 2004
Volume 12, Issue 1 - Feb 2004
Selecting the target year
2016
2015
2014
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
1996
1995
1994
1993
All
1
MULTIFRACTAL ANALYSIS OF A CODING SPACE OF THE CANTOR SET
Baek, In Soo ;
Korean Journal of Mathematics, volume 12, issue 1, 2004, Pages 1~5
Abstract
We study Hausdorff and packing dimensions of subsets of a coding space with an ultra metric from a multifractal spectrum induced by a self-similar measure on a Cantor set using a function satisfying a H
lder condition.
2
PUSHCHINO DYNAMICS OF INTERNAL LAYER
Yum, Sang Sup ;
Korean Journal of Mathematics, volume 12, issue 1, 2004, Pages 7~14
Abstract
The existence of solutions and the occurence of a Hopf bifurcation for the free boundary problem with Pushchino dynamics was shown in [3]. In this paper we shall show a Hopf bifurcation occurs for the free boundary which is given by (1).
3
RECURRENCE RELATION FOR QUOTIENTS OF THE POWER DISTRIBUTION BY RECORD VALUES
Lee, Min-Young ; Chang, Se-Kyung ;
Korean Journal of Mathematics, volume 12, issue 1, 2004, Pages 15~22
Abstract
In this paper we establish some recurrence relations satisfied by quotient moments of upper record values from the power distribution. Let {
,
} be a sequence of independent an identically distributed random variables with a common continuous distribution function(cdf)
and probability density function(pdf)
. Let
for
. We say
is an upper record value of {
,
}, if
>
,
> 1. The indices at which the upper record values occur are given by the record times {
},
, where
>
>
and
. Suppose
then
.
4
C
^{3}
_{2}
-CONSTRUCTION ON M
_{n}
(κ)
Song, Youngkwon ;
Korean Journal of Mathematics, volume 12, issue 1, 2004, Pages 23~32
Abstract
Let (B,
,
) be a maximal commutative
-subalgebra of a matrix algebra
. We will construct a maximal commutative
-subalgebra (R,
,
) of
from the algebra B such that the algebra R has dimension greater than the dimension of B by 3. Moreover, we will show a
-construction doesn't imply a
-construction for
.
5
CONDUCTANCE AND CAPACITY INEQUALITIES FOR CONFORMAL MAPPINGS
Chung, Bo-Hyun ;
Korean Journal of Mathematics, volume 12, issue 1, 2004, Pages 33~40
Abstract
Let
be non-empty sets and let
be this family of all closed curves which join E to F in
. In this paper, we shall study the problems of finding properties for the conductance
. And we obtain the inequalities in connection with capacity of condensers.
6
COMPLETION OF A UNIFORM SPACE IN K
_{0}
-PROXIMITY SPACE
Han, Song Ho ;
Korean Journal of Mathematics, volume 12, issue 1, 2004, Pages 41~47
Abstract
We introduce the
-proximity space as a generalization of the Efremovi
-proximity space. We try to show every ultrafilter in
-proximity space generates a cluster and every Cauchy cluster is a point cluster.
7
ON THE QUOTIENT BOOLEAN ALGEBRA ℘(S)/I
Baik, Seung-Il ; Kyoung, Il-Ho ;
Korean Journal of Mathematics, volume 12, issue 1, 2004, Pages 49~54
Abstract
In this paper we introduce the notion of quotient Boolean algebra and study the relation between the ideals of Boolean algebra
and the ideals of quotient Boolean algebra
.
8
THE DIFFERENTIAL PROPERTY OF ODD AND EVEN HYPERPOWER FUNCTIONS
Cho, Yunhi ;
Korean Journal of Mathematics, volume 12, issue 1, 2004, Pages 55~65
Abstract
Let
,
denote the limits of the sequences {
}, {
}, respectively. From these two functions, we obtain a function
as an inverse function of them. Several differential properties of
are induced.
9
INEQUALITIES FOR JACOBI POLYNOMIALS
Pyung, In Soo ; Kim, Hae Gyu ;
Korean Journal of Mathematics, volume 12, issue 1, 2004, Pages 67~75
Abstract
Paul Turan observed that the Legendre polynomials satisfy the inequality
> 0,
. And G. Gasper(ref. [6], ref. [7]) proved such an inequality for Jacobi polynomials and J. Bustoz and N. Savage (ref. [2]) proved
> 0,
<
<
< 1, for the ultraspherical polynomials (respectively, Laguerre ploynomials). The Bustoz-Savage inequalities hold for Laguerre and ultraspherical polynomials which are symmetric. In this paper, we prove some similar inequalities for non-symmetric Jacobi polynomials.
10
THE EXISTENCE, NONEXISTENCE AND UNIQUENESS OF GLOBAL POSITIVE COEXISTENCE OF A NONLINEAR ELLIPTIC BIOLOGICAL INTERACTING MODEL
Kang, Joon Hyuk ; Lee, Jungho ; Oh, Yun Myung ;
Korean Journal of Mathematics, volume 12, issue 1, 2004, Pages 77~90
Abstract
The purpose of this paper is to give a sufficient condition for the existence, nonexistence and uniqueness of coexistence of positive solutions to a rather general type of elliptic competition system of the Dirichlet problem on the bounded domain
in
. The techniques used in this paper are upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties for the solution of logistic equations. This result yields an algebraically computable criterion for the positive coexistence of competing species of animals in many biological models.
11
C
^{∞}
-REGULARITY OF INTERFACE OF SOME ONE-DIMENSIONAL NONLINEAR DEGENERATE PARABOLIC EQUATIONS
Ko, Youngsang ; Cho, Jeonggil ;
Korean Journal of Mathematics, volume 12, issue 1, 2004, Pages 91~106
Abstract
We prove the regularity of a moving interface of the solutions of the initial value problem of equation (1.1) is
.