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Journal of the Korean Mathematical Society
Journal Basic Information
pISSN :
03049914
eISSN :
22343008
Journal DOI :
10.4134/JKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Yun Sung Choi
Volume & Issues
Volume 46, Issue 6  Nov 2009
Volume 46, Issue 5  Sep 2009
Volume 46, Issue 4  Jul 2009
Volume 46, Issue 3  May 2009
Volume 46, Issue 2  Mar 2009
Volume 46, Issue 1  Jan 2009
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1
THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS III
Woo, SungSik ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 675~689
DOI : 10.4134/JKMS.2009.46.4.675
Abstract
As a sequel to the papers [2, 3], we will complete our identification of the groups of units of the finite local rings
[X]/(
+ 2t(X),
) which is the most general type of finite local rings with a single nilpotent generator over
.
2
EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS WITH SUBLINEAR GROWTH NONLINEARITIES
Kim, WanSe ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 691~699
DOI : 10.4134/JKMS.2009.46.4.691
Abstract
In this paper, we establish a multiple existence result of Tperiodic solutions for the semilinear parabolic boundary value problem with sublinear growth nonlinearities. We adapt subsupersolution scheme and topological argument based on variational structure of functionals.
3
SEMICONTINUOUS PLANAR TOTAL PREORDERS ON NONSEPARABLE METRIC SPACES
Campioon, Marla Jesuus ; Candeal, Juan Carlos ; Indurain, Esteban ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 701~711
DOI : 10.4134/JKMS.2009.46.4.701
Abstract
We prove that every nonseparable connected metric space can be endowed with a total preorder that is orderisomorphic to a nonrepresentable subset of the lexicographic plane and semicontinuous with respect to the metric topology.
4
ANALYSIS OF A DELAY PREYPREDATOR MODEL WITH DISEASE IN THE PREY SPECIES ONLY
Zhou, Xueyong ; Shi, Xiangyun ; Song, Xinyu ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 713~731
DOI : 10.4134/JKMS.2009.46.4.713
Abstract
In this paper, a threedimensional ecoepidemiological model with delay is considered. The stability of the two equilibria, the existence of Hopf bifurcation and the permanence are investigated. It is found that Hopf bifurcation occurs when the delay
passes though a sequence of critical values. The estimation of the length of delay to preserve stability has also been calculated. Numerical simulation with a hypothetical set of data has been done to support the analytical findings.
5
ON THE γTH HYPERKLOOSTERMAN SUMS AND A PROBLEM OF D. H. LEHMER
Tianping, Zhang ; Xifeng, Xue ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 733~746
DOI : 10.4134/JKMS.2009.46.4.733
Abstract
For any integer k
2, let P(c, k + 1;q) be the number of all k+1tuples with positive integer coordinates (
) such that
, (
) = 1,
c (mod q) and 2
(
), and E(c, k+1; q) = P(c, k+1;q) 
. The main purpose of this paper is using the properties of Gauss sums, primitive characters and the mean value theorems of Dirichlet Lfunctions to study the hybrid mean value of the rth hyperKloosterman sums Kl(h,k+1,r;q) and E(c,k+1;q), and give an interesting mean value formula.⠍瘀܀㔷㠮㐵㬗L楦攠獣楥湣敳…楯汯杹
6
GROWTH AND FIXED POINTS OF MEROMORPHIC SOLUTIONS OF HIGHERORDER LINEAR DIFFERENTIAL EQUATIONS
Xu, JunFeng ; Yi, HongXun ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 747~758
DOI : 10.4134/JKMS.2009.46.4.747
Abstract
In this paper, we investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Because of the restriction of differential equations, we obtain that the properties of fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives are more interesting than that of general transcendental meromorphic functions. Our results extend the previous results due to M. Frei, M. Ozawa, G. Gundersen, and J. K. Langley and Z. Chen and K. Shon.
7
DOMINATION IN GRAPHS OF MINIMUM DEGREE FOUR
Sohn, MooYoung ; Xudong, Yuan ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 759~773
DOI : 10.4134/JKMS.2009.46.4.759
Abstract
A dominating set for a graph G is a set D of vertices of G such that every vertex of G not in D is adjacent to a vertex of D. Reed [11] considered the domination problem for graphs with minimum degree at least three. He showed that any graph G of minimum degree at least three contains a dominating set D of size at most
V (G) by introducing a covering by vertex disjoint paths. In this paper, by using this technique, we show that every graph on n vertices of minimum degree at least four contains a dominating set D of size at most
V (G).
8
CHARACTERIZING THE MINIMALITY AND MAXIMALITY OF ORDERED LATERAL IDEALS IN ORDERED TERNARY SEMIGROUPS
Iampan, Aiyared ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 775~784
DOI : 10.4134/JKMS.2009.46.4.775
Abstract
In 1932, Lehmer [4] gave the definition of a ternary semigroup. We can see that any semigroup can be reduced to a ternary semigroup. In this paper, we give some auxiliary results which are also necessary for our considerations and characterize the relationship between the (0)minimal and maximal ordered lateral ideals and the lateral simple and lateral 0simple ordered ternary semigroups analogous to the characterizations of minimal and maximal left ideals in ordered semigroups considered by Cao and Xu [2].
9
WEAK METRIC AND WEAK COMETRIC SCHEMES
Kim, DaeSan ; Kim, GilChun ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 785~812
DOI : 10.4134/JKMS.2009.46.4.785
Abstract
The notion of weak metric and weak cometric schemes are introduced as a generalization of metric and cometric schemes. They are given as the wreath product of a finite number of symmetric association schemes satisfying certain equivalent conditions which are analogous to the ones for metric or cometric schemes. We characterize those schemes and determine some of their parameters.
10
CONDITIONS IMPLYING CONTINUITY OF MAPS
Baran, Mehmet ; Kula, Muammer ; Erciyes, Ayhan ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 813~826
DOI : 10.4134/JKMS.2009.46.4.813
Abstract
In this paper, we generalize the notions of preserving and strongly preserving maps to arbitrary set based topological categories. Further, we obtain characterizations of each of these concepts as well as interprete analogues and generalizations of theorems of Gerlits at al [20] in the categories of filter and local filter convergence spaces.
11
ON THE STRONG LAW OF LARGE NUMBERS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE NEGATIVELY DEPENDENT RANDOM VARIABLES
Baek, JongIl ; Seo, HyeYoung ; Lee, GilHwan ; Choi, JeongYeol ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 827~840
DOI : 10.4134/JKMS.2009.46.4.827
Abstract
Let {

} be an array of rowwise negatively dependent (ND) random variables. We in this paper discuss the conditions of
completely as
under not necessarily identically distributed setting and the strong law of large numbers for weighted sums of arrays of rowwise negatively dependent random variables is also considered.
12
ON COMPUTER TOPOLOGICAL FUNCTION SPACE
Han, SangEon ; Georgiou, Dimitris N. ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 841~857
DOI : 10.4134/JKMS.2009.46.4.841
Abstract
In this paper, we give and study the notion of computer topological function space between computer topological spaces with
adjacency, i
{0, 1}. Using this notion, we study various properties of topologies of a computer topological function space.
13
STRUCTURES OF GEOMETRIC QUOTIENT ORBIFOLDS OF THREEDIMENSIONAL GMANIFOLDS OF GENUS TWO
Kim, JungSoo ;
Journal of the Korean Mathematical Society, volume 46, issue 4, 2009, Pages 859~893
DOI : 10.4134/JKMS.2009.46.4.859
Abstract
In this article, we will characterize structures of geometric quotient orbifolds of Gmanifold of genus two where G is a finite group of orientation preserving diffeomorphisms using the idea of handlebody orbifolds. By using the characterization, we will deduce the candidates of possible nonhyperbolic geometric quotient orbifolds case by case using W. Dunbar's work. In addition, if the Gmanifold is compact, closed and the quotient orbifold's geometry is hyperbolic then we can show that the fundamental group of the quotient orbifold cannot be in the class D.