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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 28, Issue 4 - Nov 2015
Volume 28, Issue 3 - Aug 2015
Volume 28, Issue 2 - May 2015
Volume 28, Issue 1 - Feb 2015
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1
MULTIPLE POSITIVE SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEM WITH FINITE FRACTIONAL DIFFERENCE
He, Yansheng ; Hou, Chengmin ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 173~186
DOI : 10.14403/jcms.2015.28.2.173
Abstract
In this paper, we consider a discrete fractional nonlinear boundary value problem in which nonlinear term f is involved with the fractional order difference. We transform the fractional boundary value problem into boundary value problem of integer order difference equation. By using a generalization of Leggett-Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions.
2
CHARACTERIZATIONS OF GAMMA DISTRIBUTION VIA SUB-INDEPENDENT RANDOM VARIABLES
Hamedani, G.G. ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 187~194
DOI : 10.14403/jcms.2015.28.2.187
Abstract
The concept of sub-independence is based on the convolution of the distributions of the random variables. It is much weaker than that of independence, but is shown to be sufficient to yield the conclusions of important theorems and results in probability and statistics. It also provides a measure of dissociation between two random variables which is much stronger than uncorrelatedness. Inspired by the excellent work of Jin and Lee (2014), we present certain characterizations of gamma distribution based on the concept of sub-independence.
3
ON THE EXISTENCE OF p-ADIC ROOTS
Kim, Young-Hee ; Choi, Jongsung ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 195~200
DOI : 10.14403/jcms.2015.28.2.195
Abstract
In this paper, we give the condition for the existence of the q-th roots of p-adic numbers in
with an integer
and (p, q) = 1. We have the conditions for the existence of the fifth root and the seventh root of p-adic numbers in
, respectively.
4
KUPKA-SMALE DIFFERENTIABLE MAPS
Lee, Manseob ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 201~205
DOI : 10.14403/jcms.2015.28.2.201
Abstract
We show that if a regular map belongs to the
-interior of the set of all Kupka-Smale differentiable maps then it satisfis Axiom A and the strong transverality condition.
5
AN ALGEBRAIC SOLUTION OF EINSTEIN'S FIELD EQUATIONS IN X
_{4}
Lee, Jong Woo ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 207~215
DOI : 10.14403/jcms.2015.28.2.207
Abstract
The main goal in the present paper is to obtain a particular solution
,
and an algebraic solution
,
by means of
,
in UFT
.
6
BOUNDEDNESS IN PERTURBED NONLINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS
Choi, Sang Il ; Goo, Yoon Hoe ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 217~228
DOI : 10.14403/jcms.2015.28.2.217
Abstract
In this paper, we investigate bounds for solutions of the perturbed nonlinear functional differential systems with a
-similarity condition using the notion of h-stability.
7
A DECOMPOSITION OF THE CURVATURE TENSOR ON SU(3)=T (k, l) WITH A SU(3)-INVARIANT METRIC
Son, Heui-Sang ; Park, Joon-Sik ; Pyo, Yong-Soo ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 229~241
DOI : 10.14403/jcms.2015.28.2.229
Abstract
In this paper, we decompose the curvature tensor (field) on the homogeneous Riemannian manifold SU(3)=T (k, l) with an arbitrarily given SU(3)-invariant Riemannian metric into three curvature-like tensor fields, and investigate geometric properties.
8
COMPUTATION OF NIELSEN NUMBERS FOR CERTAIN MAPS OF HYPERBOLIC SURFACES
Kim, Seung Won ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 243~249
DOI : 10.14403/jcms.2015.28.2.243
Abstract
Let X be a closed surface for which the Euler characteristic
is negative, and let
be a self-map that is not surjective. In this short paper, we prove that we can compute the Nielsen number of f, N(f), under some algebraic conditions.
9
SHARP L
^{p}
→L
^{r}
ESTIMATES OF RESTRICTED AVERAGING OPERATORS OVER CURVES ON PLANES IN FINITE FIELDS
Koh, Doowon ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 251~259
DOI : 10.14403/jcms.2015.28.2.251
Abstract
Let
be a d-dimensional vector space over a finite field
with q elements. We endow the space
with a normalized counting measure dx. Let
be a normalized surface measure on an algebraic variety V contained in the space (
, dx). We define the restricted averaging operator AV by
for
, where
: In this paper, we initially investigate
estimates of the restricted averaging operator AV. As a main result, we obtain the optimal results on this problem in the case when the varieties V are any nondegenerate algebraic curves in two dimensional vector spaces over finite fields. The Fourier restriction estimates for curves on
play a crucial role in proving our results.
10
BACKWARD EXTENSION OF SUBNORMAL 2-VARIABLE WEIGHTED SHIFTS
Lee, Jun Ik ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 261~267
DOI : 10.14403/jcms.2015.28.2.261
Abstract
We study backward extensions of 2-variable weighted shifts with finite atomic Berger measure. We provide a necessary and sufficient condition for the subnormality of such extensions. As an application, we give a simple counterexample for the Curto-Muhly-Xia conjecture [10].
11
THE PROPERLY SUPPORTED GENERALIZED PSEUDO DIFFERENTIAL OPERATORS
Kang, Buhyeon ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 269~286
DOI : 10.14403/jcms.2015.28.2.269
Abstract
In this paper, we extend the concept of the pseudo differential operators in the usual Schwartz's distribution spaces to the one of the generalized pseudo differential operators in the Beurling's generalized distribution spaces. And we shall investigate some properties of the generalized pseudo differential operators including the generalized pseudo local property. Finally, we will study the smoothness and properly supported property of these operators.
12
HYPERBOLICITY FOR CLOSED RELATIONS
Kim, Gui Seok ; Lee, Kyung Bok ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 287~305
DOI : 10.14403/jcms.2015.28.2.287
Abstract
Hyperbolicity is a core of dynamics. Shadowness and expansiveness for homeomorphisms have been studied by J. Om-bach([3], [4], [5]). We study the hyperbolicity (i.e., expansivity and the shadowing property) and the Anosov relation for a closed relation.
13
A NONDEGENERATE BILINEAR FORM INDUCED BY COLOR POISSON BIALGEBRA
Oh, Sei-Qwon ; Sim, Hanna ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 307~310
DOI : 10.14403/jcms.2015.28.2.307
Abstract
Let H be a color Poisson bialgebra. Here we find a canonical nondegenerate bilinear form
, where
and
are certain color Lie algebras induced by H.
14
APPROXIMATE QUADRATIC MAPPINGS IN QUASI-β-NORMED SPACES
Hong, Young Soon ; Kim, Hark-Mahn ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 311~319
DOI : 10.14403/jcms.2015.28.2.311
Abstract
In this article, we consider a modified quadratic functional equation and then investigate its generalized Hyers-Ulam stability theorem in quasi-
-normed spaces.
15
A FIXED POINT APPROACH TO THE STABILITY OF ADDITIVE-QUADRATIC FUNCTIONAL EQUATIONS IN MODULAR SPACES
Kim, Changil ; Park, Se Won ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 321~330
DOI : 10.14403/jcms.2015.28.2.321
Abstract
In this paper, we prove the generalized Hyers-Ulam stability for the following additive-quadratic functional equation f(2x + y) + f(2x - y) = f(x + y) + f(x - y) + 4f(x) + 2f(-x) in modular spaces by using a fixed point theorem for modular spaces.
16
ON SINGLE CYCLE T-FUNCTIONS GENERATED BY SOME ELEMENTS
Rhee, Min Surp ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 331~343
DOI : 10.14403/jcms.2015.28.2.331
Abstract
Invertible transformations over n-bit words are essential ingredients in many cryptographic constructions. When n is large such invertible transformations are usually represented as a composition of simpler operations such as linear functions, S-P networks, Feistel structures and T-functions. Among them we study T-functions which are probably invertible transformations and are very useful in stream ciphers. In this paper we study the number of single cycle T-functions satisfying some conditions and characterize single cycle T-functions on
generated by some elements in
.
17
EXISTENCE OF MILD SOLUTIONS OF PARTIAL NEUTRAL INTEGRODIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
Choi, Sung Kyu ; Kim, Youn Hee ; Koo, Namjip ;
Journal of the Chungcheong Mathematical Society , volume 28, issue 2, 2015, Pages 345~352
DOI : 10.14403/jcms.2015.28.2.345
Abstract
We study the existence of mild solutions of partial neutral integrodifferential equations with unbounded delay by using the fixed point criterion for condensing operators.