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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
FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIVE TYPE MAPPINGS IN SYMMETRIC SPACES
Cho, Seong-Hoon ; Kim, Dong-Jun ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 439~450
Abstract
In this paper, we give a generalized contractive condition for four self mappings of symmetric spaces and give some results on fixed point theorems in symmetric spaces.
2
ON THE POINTS OF ELLIPTIC CURVES
Oh, Jang-Heon ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 451~455
Abstract
In this paper we give some results on the points of elliptic curves which have application to elliptic curve cryptography.
3
ROBUST BOUNDARY CONTROL OF CHEMOTAXIS REACTION DIFFUSION SYSTEM
Ryu, Sang-Uk ; Kang, Yong-Han ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 457~470
Abstract
This paper is concerned with the robust boundary control of the chemotaxis reaction diffusion system. That is, we show that the existence of the saddle point for the robust control problem when the control and the disturbance are given by the boundary condition.
4
A STUDY ON EFFECTIVE STATISTICS TEACHING USING SAS PROGRAM
Oh, Hye-Young ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 471~480
Abstract
As students with low basic knowledge of mathematics increase, they have had difficulties in studying statistics theory class. By using recent students' characteristics which prefer seeing directly and checking to thinking logically, we try to change the teaching method into teaching in the computer lab(SAS program). We investigate whether changing the teaching method has effects on students' achievements and interests or not. The purpose of this study is to grope for a better teaching and develop mathematics education's satisfaction and qualification.
5
A GENERATION OF A DETERMINANTAL FAMILY OF ITERATION FUNCTIONS AND ITS CHARACTERIZATIONS
Ham, Yoon-Mee ; Lee, Sang-Gu ; Ridenhour, Jerry ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 481~494
Abstract
Iteration functions
and
,
2 are defined recursively using the determinant of a matrix. We show that the fixed-iterations of
and
converge to a simple zero with order of convergence m and give closed form expansions of
and
: To show the convergence, we derive a recursion formula for
and then apply the idea of Ford or Pomentale. We also find a Toeplitz matrix whose determinant is
, and then we adapt the well-known results of Gerlach and Kalantari et.al. to give closed form expansions.
6
NOTE ON TOTALLY DISCONNECTED AND CONNECTED SPACES
Park, Ki-Sung ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 495~498
Abstract
Every totally disconnected space is hereditarily disconnected. In this note, we provide an example of a hereditarily disconnected which is not a totally disconnected space. We further provide an example that not homogeneous space is the product of a totally disconnected and a connected.
7
ON
-STIELTJES INTEGRAL
Oh, Mee-Na ; Park, Chun-Kee ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 499~509
Abstract
In this paper we introduce the concepts of the generalized bounded variation in the restricted sense with respect to a strictly increasing function and
-Stieltjes integral of real-valued functions and investigate their properties.
8
MULTIPLICITY RESULTS FOR THE ELLIPTIC SYSTEM USING THE MINIMAX THEOREM
Nam, Hye-Won ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 511~526
Abstract
In this paper, we consider an elliptic system of three equations using the minimax theorem. We prove the existence of two solutions for suitable forcing terms, under a condition on the linear part which prevents resonance with eigenvalues of the operator.
9
THE NUMBER OF THE CRITICAL POINTS OF THE STRONGLY INDEFINITE FUNCTIONAL WITH ONE PAIR OF THE TORUS-SPHERE VARIATIONAL LINKING SUBLEVELS
Jung, Tack-Sun ; Choi, Q-Heung ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 527~535
Abstract
Let
be a strongly indefinite functional defined on a Hilbert space H. We investigate the number of the critical points of I when I satisfies one pair of Torus-Sphere variational linking inequality. We show that I has at least two critical points when I satisfies one pair of Torus-Sphere variational linking inequality with
condition. We prove this result by use of the limit relative category and critical point theory on the manifold with boundary.
10
SLLN FOR WEIGHTED SUMS OF LEVEL-WISE INDEPENDENT FUZZY RANDOM VARIABLES
Joo, Sang-Yeol ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 537~543
Abstract
Guan and Li [2] obtained SLLN for weighted sums of level-wise independent fuzzy random variables. In this paper, a generalization of Guan and Li [2] is obtained by using the Skorokhod metric on F(R).
11
SOLVABILITY FOR THE PARABOLIC PROBLEM WITH JUMPING NONLINEARITY CROSSING NO EIGENVALUES
Jung, Tack-Sun ; Choi, Q-Heung ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 545~551
Abstract
We investigate the multiple solutions for a parabolic boundary value problem with jumping nonlinearity crossing no eigenvalues. We show the existence of the unique solution of the parabolic problem with Dirichlet boundary condition and periodic condition when jumping nonlinearity does not cross eigenvalues of the Laplace operator -
. We prove this result by investigating the Lipschitz constant of the inverse compact operator of
and applying the contraction mapping principle.
12
PERIODIC SOLUTIONS FOR NONLINEAR PARABOLIC SYSTEMS WITH SOURCE TERMS
Jung, Tack-Sun ; Choi, Q-Heung ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 553~564
Abstract
We have a concern with the existence of solutions (
) for perturbations of the parabolic system with Dirichlet boundary condition (0.1)
,
. We prove the uniqueness theorem when the nonlinearity does not cross eigenvalues. We also investigate multiple solutions (
) for perturbations of the parabolic system with Dirichlet boundary condition when the nonlinearity
is bounded and $f^{\prime}(-{\infty})\;<\;{\lambda}_1,\;{\lambda}_n\;<\;(3{\mu}+{\nu})f^{\prime}(+{\infty})\;<\;{\lambda_{n+1}$.
13
ON SOME MATRIX INEQUALITIES
Lee, Hyun-Deok ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 565~571
Abstract
In this paper we present some trace inequalities for positive definite matrices in statistical mechanics. In order to prove the method of the uniform bound on the generating functional for the semi-classical model, we use some trace inequalities and matrix norms and properties of trace for positive definite matrices.
14
SLLN FOR INDEPENDENT FUZZY RANDOM VARIABLES
Hyun, Young-Nam ; Joo, Sang-Yeol ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 573~581
Abstract
We obtain an improvement of strong laws of large numbers for independent fuzzy random variables.
15
A BERBERIAN TYPE EXTENSION OF FUGLEDE-PUTNAM THEOREM FOR QUASI-CLASS A OPERATORS
Kim, In-Hyoun ; Jeon, In-Ho ;
Korean Journal of Mathematics, volume 16, issue 4, 2008, Pages 583~587
Abstract
Let
denote the algebra of bounded linear operators on a separable infinite dimensional complex Hilbert space
. We say that T
is a quasi-class A operator if
. In this paper we prove that if A and B are quasi-class A operators, and
is invertible, then for a Hilbert-Schmidt operator X AX = XB implies
.