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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 :
Gi-Sang Cheon
Volume & Issues
Volume 15, Issue 2 - Dec 2007
Volume 15, Issue 1 - Jun 2007
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1
THE INVESTIGATION OF MULTIPLICATION OF SUSPENSION BRIDGE EQUATION USING LINKING THEORY
Nam, Hyewon ;
Korean Journal of Mathematics, volume 15, issue 1, 2007, Pages 1~11
Abstract
It is well known that a suspension bridge may display certain oscillations under external aerodynamic forces. Under the action of a strong wind, in particular, a narrow and very flexible suspension bridge can undergo dangerous oscillations. So it would be very contributive to determine under what conditions a similar situation cannot occur, and find out safe parameters of the bridge construction. In this paper, we investigate relations between the multiplicity of solutions and nonlinear terms in this suspension bridge equation using critical point theorem and linking theorem.
2
SEQUENCES IN THE RANGE OF A VECTOR MEASURE
Song, Hi Ja ;
Korean Journal of Mathematics, volume 15, issue 1, 2007, Pages 13~26
Abstract
We prove that every strong null sequence in a Banach space X lies inside the range of a vector measure of bounded variation if and only if the condition
holds. We also prove that for
every strong
sequence in a Banach space X lies inside the range of an X-valued measure of bounded variation if and only if the identity operator of the dual Banach space
is (
,1)-summing, where
is the conjugate exponent of
. Finally we prove that a Banach space X has the property that any sequence lying in the range of an X-valued measure actually lies in the range of a vector measure of bounded variation if and only if the condition
holds.
3
R-SEMI-GENERALIZED FUZZY CONTINUOUS MAPS
Min, Won Keun ; Park, Chun-Kee ;
Korean Journal of Mathematics, volume 15, issue 1, 2007, Pages 27~37
Abstract
In this paper, we introduce the concepts of r-semi-generalized fuzzy closed sets, r-semi-generalized fuzzy open sets, r-semi-generalized fuzzy continuous maps in fuzzy topological spaces and investigate some of their properties.
4
NONUNIQUE COINCIDENCE POINT THEOREMS FOR ĆIRIĆ TYPE MAPPINGS
Guan, Feng ; Kang, Shin Min ; Li, Jinsong ; Liu, Zeqing ;
Korean Journal of Mathematics, volume 15, issue 1, 2007, Pages 39~49
Abstract
A few existence results of nonunique coincidence points for some kinds of
iri
type mappings in metric and pseudocompact Tichonov spaces, respectively, are proved. The results presented in this paper extend some known results in the literature.
5
EXISTENCE OF A POSITIVE SOLUTION FOR THE SYSTEM OF THE NONLINEAR BIHARMONIC EQUATIONS
Choi, Q-Heung ; Jung, Tacksun ;
Korean Journal of Mathematics, volume 15, issue 1, 2007, Pages 51~57
Abstract
We prove the existence of a positive solution for the system of the following nonlinear biharmonic equations with Dirichlet boundary condition
where
,
,
,
denotes the biharmonic operator and
is the positive eigenfunction of the eigenvalue problem
with Dirichlet boundary condition. Here
,
are small numbers and
,
are bounded.
6
EXTENDED FUZZY EQUIVALENCE RELATIONS
Chon, Inheung ;
Korean Journal of Mathematics, volume 15, issue 1, 2007, Pages 59~69
Abstract
We define an extended fuzzy equivalence relation, discuss some basic properties of extended fuzzy equivalence relations, find the extended fuzzy equivalence relation generated by a fuzzy relation in a set, and give some lattice theoretic properties of extended fuzzy equivalence relations.
7
WEAK CONVERGENCE OF VARIOUS MODELS TO FRACTIONAL BROWNIAN MOTION
Kim, Joo-Mok ;
Korean Journal of Mathematics, volume 15, issue 1, 2007, Pages 71~78
Abstract
We consider arrival process and ON/OFF source model which allows for long packet trains and long inter-train distances. We prove the weak convergence of theses processes to Fractional Brownian motion. Finally, we figure out the coefficients of
and time
when ON/OFF periods have the Pareto distribution.
8
BASIC CODES OVER POLYNOMIAL RINGS
Park, Young Ho ;
Korean Journal of Mathematics, volume 15, issue 1, 2007, Pages 79~85
Abstract
We study codes over the polynomial ring
and introduce the notion of basic codes which play a fundamental role in the theory.