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Journal of the Chungcheong Mathematical Society
Journal Basic Information
pISSN :
1226-3524
eISSN :
Journal DOI :
10.14403/jcms
Frequency :
Others
Publisher:
Chungcheong Mathematical Society
Editor in Chief :
Nam-Jip Koo
Volume & Issues
Volume 21, Issue 4 - Dec 2008
Volume 21, Issue 3 - Sep 2008
Volume 21, Issue 2 - Jun 2008
Volume 21, Issue 1 - Mar 2008
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1
C-DUNFORD AND C-PETTIS INTEGRALS
Yu, Chao ; Zhao, Dafang ; Ye, Guo-Ju ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 427~435
Abstract
In this paper, we give some extensions of Dunford integral and Pettis integral, C-Dunford integral and C-Pettis integral. We also discuss the relation among the C-Dunford integral, C-Pettis integral and C-integral.
2
CRITICAL POINTS RESULT FOR THE
FUNCTIONAL AND THE RELATIVE CATEGORY THEORY
Jung, Tack-Sun ; Choi, Q-Heung ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 437~445
Abstract
We show the existence of at least four nontrivial critical points of the
functional
on the Hilbert space
,
are finite dimensional, with
when two sublevel subsets, torus with three holes and sphere, of
link, the functional
satisfies sup-inf variatinal linking inequality on the linking subspaces, the functional
satisfies ;
condition, and
has no critical point with level
. We use the deformation lemma, the relative category theory and the critical point theory for the proof of main result.
3
SOME PROPERTIES OF CELLULAR AUTOMATA
Kim, Jae-Gyeom ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 447~454
Abstract
In this short note, we will point out and modify some logical errors in literatures about the theory of cellular automata.
4
FUNCTIONAL EQUATIONS ASSOCIATED WITH INNER PRODUCT SPACES
Park, Choon-Kil ; Huh, Jae-Sung ; Min, Won-June ; Nam, Dong-Hoon ; Roh, Seung-Hyeon ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 455~466
Abstract
In, [7], 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
holds for all
. Let V,W be real vector spaces. It is shown that if a mapping
satisfies
for all
,
,
, then the mapping
satisfies
for all
. Furthermore, we prove the generalized Hyers-Ulam stability of the functional equation (0.2) in real Banach spaces.
5
A WEIERSTRASS POINT OF
(4p)
Choi, So-Young ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 467~470
Abstract
Abstract. We show that the cusp 1=2 is a Weierstrass point of
(4p) if p is a prime greater than 7.
6
A NEW FUNCTION SPACE
VERSION 1.1
Pak, Hee-Chul ; Chang, Sang-Hoon ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 471~481
Abstract
We develop a new function space
(X) that generalizes the classical Lebesgue space
. The generalization is focused on a better explanation of the flux terms arising from many dynamics.
7
ASYMPTOTIC ERROR ANALYSIS OF
-FOLD PSEUDO-NEWTON'S METHOD LOCATING A SIMPLE ZERO
Kim, Young-Ik ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 483~492
Abstract
The
-fold pseudo-Newton's method is proposed and its convergence behavior is investigated near a simple zero. The order of convergence is proven to be at least
+2. The asymptotic error constant is explicitly given in terms of
and the corresponding simple zero. High-precison numerical results are successfully implemented via Mathematica and illustrated for various examples.
8
COMPACTNESS OF MINIMIZING SEQUENCES FOR THE SOBOLEV TRACE INEQUALITY
Park, Young-Ja ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 493~499
Abstract
We construct a minimizing sequence for the Sobolev trace inequality which satises compactness in the concentration compactness property.
9
ON THE CONVOLUTION OF EXPONENTIAL DISTRIBUTIONS
Akkouchi, Mohamed ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 501~510
Abstract
The distribution of the sum of n independent random variables having exponential distributions with different parameters
(i = 1, 2, ..., n) is given in [2], [3], [4] and [6]. In [1], by using Laplace transform, Jasiulewicz and Kordecki generalized the results obtained by Sen and Balakrishnan in [6] and established a formula for the distribution of this sum without conditions on the parameters
: The aim of this note is to present a method to find the distribution of the sum of n independent exponentially distributed random variables with different parameters. Our method can also be used to handle the case when all
are the same.
10
-STABILITY FOR PERTURBED INTEGRO-DIFFERENTIAL SYSTEMS
Goo, Yoon-Hoe ; Ry, Dae-Hee ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 511~517
Abstract
In this paper, we investigate
-stability of nonlinear integro-differential equations
11
TAME DIFFEOMORPHISMS WITH
-STABLE PROPERTIES
Lee, Man-Seob ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 519~525
Abstract
Let f be a diffeomorphisms of a compact
manifold, and let p be a hyperbolic periodic point of
. In this paper, we prove that if generically,
is tame diffeomorphims then the following conditions are equivalent: (i)
is
-stable, (ii)
has the
-stable shadowing property (iii)
has the
-stable inverse shadowing property.
12
DIMENSIONALLY EQUIVALENT SPACES
Baek, In-Soo ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 527~532
Abstract
We compare a coding space which has an ultra metric with the unit interval which has an associated generalized dyadic expansion. The two spaces are not homeomorphic but dimensionally equivalent in the sense that the Hausdorff and packing dimensions of the corresponding distribution sets in the two spaces coincide.
13
THE NIELSEN NUMBER ON ASPHERICAL WEDGE
Kim, Seung-Won ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 533~541
Abstract
Let
be a finite polyhedron that is of the homotopy type of the wedge of the torus and the surface with boundary. Let
be a self-map of
. In this paper, we prove that if the induced endomorphism of
is
-reduced, then there is an algorithm for computing the Nielsen number
.
14
OPTIMAL CONTROL OF GLOBAL PRESS FOR AN ADSORBATE-INDUCED PHASE TRANSITION MODEL
Ryu, Sang-Uk ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 543~553
Abstract
This paper is concerned with the optimal control problem of global press for an adsorbate-induced phase transition model. That is, we show the existence of the optimal control and derive the optimality conditions. Moreover, we obtain the uniqueness of the optimal control.
15
r-HOMOMORPHISMS IN TRANSFORMATION GROUPS
Yu, Jung-Ok ; Shin, Se-Soon ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 555~562
Abstract
In this paper, it will be given a necessary and sufficient condition for a function to be an r-homomorphism in connection with the subgroups of the automorphism group of a universal minimal set.
16
SOME CRITERIA OF FIBER PRODUCTS
Chung, Sang-Cho ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 563~572
Abstract
The purpose of this paper is to show that we give some criteria of ¯ber products.
17
A STUDY ON THE TECHNIQUES OF ESTIMATING THE PROBABILITY OF FAILURE
Lee, Yong-Kyun ; Hwang, Dae-Sik ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 573~583
Abstract
In this paper, we introduce the techniques of estimating the probability of failure in reliability analysis. The basic idea of each technique is explained and drawbacks of these techniques are examined.
18
HODGE NUMBERS OF CALABI-YAU MANIFOLDS BY SMOOTHING OF NORMAL CROSSING VARIETIES
Lee, Nam-Hoon ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 585~590
Abstract
We give a formula for the Hodge numbers of Calabi-Yau 3-folds, constructed by smoothing and calculate the Hodge numbers of Calabi-Yau 3-folds of Y. Kawamata and Y. Namikawa.
19
PI-S-SYSTEMS
Kim, Ju-Pil ;
Journal of the Chungcheong Mathematical Society , volume 21, issue 4, 2008, Pages 591~599
Abstract
The purpose of this paper is to find some equivalent condition of weakly nonsingular congruence on
-system
and this study, we consider p-injective
-system and large subsystem.