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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Seoung Dal Jung
Volume & Issues
Volume 19, Issue 4 - Oct 2004
Volume 19, Issue 3 - Jul 2004
Volume 19, Issue 2 - Apr 2004
Volume 19, Issue 1 - Jan 2004
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1
그로모브-위튼 불변량과 그의 응용
;
;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 389~425
DOI : 10.4134/CKMS.2004.19.3.389
Abstract
2
ON PRIME GAMMA-NEAR-RINGS WITH DERIVATIONS
Uckun, Mustafa ; Ozturk, Mehmet Ali ; Jun, Young-Bae ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 427~433
DOI : 10.4134/CKMS.2004.19.3.427
Abstract
Conditions for a
-near-ring to be commutative are investigated.
3
WEIGHTED CONTINUITY OF MULTILINEAR MARCINKIEWICZ OPERATORS FOR THE EXTREME CASES OF
_{P}
Liu, Lanzhe ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 435~452
DOI : 10.4134/CKMS.2004.19.3.435
Abstract
In this paper, we prove the weighted continuity of multilinear Marcinkiewicz operators for the extreme cases of p.
4
WORST CASES OF POLYNOMIAL ZEROS BAD
Kim, Seon-Hong ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 453~459
DOI : 10.4134/CKMS.2004.19.3.453
Abstract
In this paper, we provide an example of "worst cases" of bad pairs of polynomial zeros, namely sums of two polynomials with all pairs of zeros bad and all their zeros real.
5
ISHIKAWA ITERATIVE PROCESS WITH ERRORS FOR STRONGLY PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES
Li, Yong-Jin ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 461~467
DOI : 10.4134/CKMS.2004.19.3.461
Abstract
In this paper, we study the Ishikawa iterative sequences with errors for Lipschitzian strongly pseudo-contractive operator in arbitrary real Banach spaces. Our results improve the results obtained previously by C. E. Chidume [3] and Zeng [9].
6
DIMENSION OF DEFORMED SELF-SIMILAR SETS
Kim, Tae-Hee ; Park, Jung-Ju ; Lee, Hung-Hwan ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 469~475
DOI : 10.4134/CKMS.2004.19.3.469
Abstract
We generalize S. Ikeda`s results for perturbed cantor sets showing how we get the dimensions for deformed self-similar sets.
7
ON THE SOLUTION AND STABILITY OF THE QUADRATIC TYPE FUNCTIONAL EQUATIONS
Lee, Eun-Hwi ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 477~493
DOI : 10.4134/CKMS.2004.19.3.477
Abstract
In this paper we prove the solution and stability of the quadratic type functional equations with two variables $4f(\frac{x-2y}{2}) + f(x) + 2f(y)
8
OSCILLATION THEOREMS OF SOLUTIONS FOR SOME DIFFERENTIAL EQUATIONS
Kim, Rak-Joong ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 495~506
DOI : 10.4134/CKMS.2004.19.3.495
Abstract
Some oscillation criteria are given for second order nonlinear differential equations by means of integral averaging technique.
9
REGULAR BRANCHED COVERING SPACES AND CHAOTIC MAPS ON THE RIEMANN SPHERE
Lee, Joo-Sung ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 507~517
DOI : 10.4134/CKMS.2004.19.3.507
Abstract
Let (2,2,2,2) be ramification indices for the Riemann sphere. It is well known that the regular branched covering map corresponding to this, is the Weierstrass P function. Lattes [7] gives a rational function R(z)
10
FREE HOMEOMORPHISMS OF TWO DIMENSIONAL MANIFOLDS
Park, Jong-Jin ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 519~529
DOI : 10.4134/CKMS.2004.19.3.519
Abstract
M. Brown [2] posed an open question on the class of free homeomorphisms as follows: if f is a free homeomorphism of two manifold and k is a positive integer then is
free\ulcorner In this paper we show that the answer of the open question is true.
11
ON INFINITE CLASSES OF GENUS TWO 1-BRIDGE KNOTS
Kim, Soo-Hwan ; Kim, Yang-Kok ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 531~544
DOI : 10.4134/CKMS.2004.19.3.531
Abstract
We study a family of 2-bridge knots with 2-tangles in the 3-sphere admitting a genus two 1-bridge splitting. We also observe a geometric relation between (g - 1, 1)-splitting and (g,0)- splitting for g
12
EULER SUMS EVALUATABLE FROM INTEGRALS
Jung, Myung-Ho ; Cho, Young-Joon ; Choi, June-Sang ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 545~555
DOI : 10.4134/CKMS.2004.19.3.545
Abstract
Ever since the time of Euler, the so-called Euler sums have been evaluated in many different ways. We give here a proof of the classical Euler sum by following Lewin`s method. We also consider some related formulas involving Euler sums, which are evaluatable from some known definite integrals.
13
SUFFICIENT CONDITIONS FOR OPTIMALITY IN DIFFERENTIAL INCLUSION UNDER STATE CONSTRAINTS
Kim, Kyung-Eung ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 557~567
DOI : 10.4134/CKMS.2004.19.3.557
Abstract
We prove the sufficient conditions for optimality in differential inclusion problem by using the value function. For this purpose, we assume at first that the value function is locally Lipschitz. Secondly, without this assumption, we use the viability theory.
14
GENERALIZATION OF WATSON`S THEOREM FOR DOUBLE SERIES
Kim, Yong-Sup ; Rathie, Arjun-K. ; Park, Chan-Bong ; Lee, Chang-Hyun ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 569~576
DOI : 10.4134/CKMS.2004.19.3.569
Abstract
In 1965, Bhatt and Pandey obtained the Watson`s theorem for double series by using Dioxon`s theorem on the sum of a
. The aim of this paper is to derive twenty three results for double series closely related to the Watson`s theorem for double series obtained by Bhatt and Pandey. The results are derived with the help of twenty three summation formulas closely related to the Dison`s theorem on the sum of a
obtained in earlier work by Lavoie, Grondin, Rathie and Arora.
15
EDGE PROPERTIES OF THE 4-VALENT MULTI 3-GON GRAPHS
Jeong, Dal-Young ;
Communications of the Korean Mathematical Society, volume 19, issue 3, 2004, Pages 577~584
DOI : 10.4134/CKMS.2004.19.3.577
Abstract
In a 4-valent multi 3-gon graph, every cut-through curve forms a simple closed circuit. Hence it is a weak arrangement of simple curves that is defined by Branko Grunbaum. In this paper, we study the edge properties of the 4-valent multi 3-gon graphs from the point of view of arrangement, and we show that they are 3 colorable.