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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 22, Issue 4 - Oct 2007
Volume 22, Issue 3 - Jul 2007
Volume 22, Issue 2 - Apr 2007
Volume 22, Issue 1 - Jan 2007
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1
SOME PROPERTIES OF SYMMETRIC BI-(σ, Τ)-DERIVATIONS IN NEAR-RINGS
Ceven, Yilmaz ; Ozturk, Mehmet Ali ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 487~491
DOI : 10.4134/CKMS.2007.22.4.487
Abstract
In this paper, we introduce a symmetric
in a near-ring and generalize some of the results in [5, 6, 8, 9].
2
SOME ESTIMATES OF LITTLEWOOD-PALEY TYPE OPERATORS IN ARITHMETIC
Kim, Yong-Cheol ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 493~502
DOI : 10.4134/CKMS.2007.22.4.493
Abstract
We prove that certain square functions of Littlewood-Paley type satisfy certain mapping properties on
.
3
A METHOD TO MAKE BCK-ALGEBRAS
Jun, Young-Bae ; Lee, Kyoung-Ja ; Park, Chul-Hwan ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 503~508
DOI : 10.4134/CKMS.2007.22.4.503
Abstract
Using the notion of posets, a method to make BCK-algebras is considered. We show that if a poset has the least element, then the induced BCK-algebra is bounded.
4
A NOTE ON GAUSS`S SECOND SUMMATION THEOREM FOR THE SERIES
_{2}
F
_{1}
(1/2)
Choi, June-Sang ; Rathie, Arjun K. ; Purnima, Purnima ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 509~512
DOI : 10.4134/CKMS.2007.22.4.509
Abstract
We aim at deriving Gauss`s second summation theorem for the series
by using Euler`s integral representation for
. It seems that this method of proof has not been tried.
5
A COMMON FIXED POINT THEOREM IN TWO M-FUZZY METRIC SPACES
Sedghi, Shaban ; Shobe, Nabi ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 513~526
DOI : 10.4134/CKMS.2007.22.4.513
Abstract
In this paper, we give some new definitions of M-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of compatible mappings of first or second type in two complete M-fuzzy metric spaces.
6
INTEGRATED RATE SPACE ∫ ℓ
_{π}
Subramanian, N. ; Rao, K. Chandrasekhara ; Gurumoorthy, N. ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 527~534
DOI : 10.4134/CKMS.2007.22.4.527
Abstract
This paper deals with the BK-AK property of the integrated rate space
. Importance of
in this content is pointed out. We investigate a determining set for the integrated rate space
. The set of all infinite matrices transforming
, into BK-AK space Y is denoted
. We characterize the classes
. When $Y
7
ON THE PETTIS INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES
Park, Chun-Kee ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 535~545
DOI : 10.4134/CKMS.2007.22.4.535
Abstract
In this paper, we introduce the Pettis integral of fuzzy mappings in Banach spaces using the Pettis integral of closed set-valued mappings. We investigate the relations between the Pettis integral, weak integral and integral of fuzzy mappings in Banach spaces and obtain some properties of the Pettis integral of fuzzy mappings in Banach spaces.
8
DIMENSIONS OF DISTRIBUTION SETS IN THE UNIT INTERVAL
Baek, In-Soo ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 547~552
DOI : 10.4134/CKMS.2007.22.4.547
Abstract
The unit interval is not homeomorphic to a self-similar Cantor set in which we studied the dimensions of distribution subsets. However we show that similar results regarding dimensions of the distribution subsets also hold for the unit interval since the distribution subsets have similar structures with those in a self-similar Cantor set.
9
PARTS FORMULAS INVOLVING INTEGRAL TRANSFORMS ON FUNCTION SPACE
Kim, Bong-Jin ; Kim, Byoung-Soo ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 553~564
DOI : 10.4134/CKMS.2007.22.4.553
Abstract
In this paper we establish several integration by parts formulas involving integral transforms of functionals of the form $F(y)
10
ASYMPTOTIC DIRICHLET PROBLEM FOR THE SCHRÖDINGER OPERATOR ON 2-DIMENSIONAL CARTAN-HADAMARD MANIFOLDS
Kim, Seok-Woo ; Lee, Yong-Hah ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 565~568
DOI : 10.4134/CKMS.2007.22.4.565
Abstract
We solve the asymptotic Dirichlet problem for a certain
operator on 2-dimensional Cartan-Hadamard manifolds.
11
REMARKS ON K-STARCOMPACT SPACES
Song, Yan-Kui ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 569~573
DOI : 10.4134/CKMS.2007.22.4.569
Abstract
In this note, we construct an example of a Hausdorff K-starcompact (hence,
-star-compact) space X having a regular closed
which is not
-starcompact (hence, not K-starcompact).
12
CHAIN RECURRENCE AND ATTRACTORS IN GENERAL DYNAMICAL SYSTEMS
Lee, Kyung-Bok ; Park, Jong-Shu ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 575~586
DOI : 10.4134/CKMS.2007.22.4.575
Abstract
We introduce here notions of chain recurrent sets, attractors and its basins for general dynamical systems and prove important properties including (i) the chain recurrent set CR(f) of f on a metric space (X, d) is the complement of the union of sets B(A) -A as A varies over the collection of attractors and (ii) genericity of general dynamical systems.
13
STABILITY OF TWO-PHASE FLOW MODELS
Jin, Hyeon-Seong ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 587~596
DOI : 10.4134/CKMS.2007.22.4.587
Abstract
In this paper, we study two-phase flow models. The chunk mix model of the two-phase flow equations is analyzed by a characteristic analysis. The model discussed herein has real characteristic values for all physically acceptable states and except for a set of measure zero has a complete set of characteristic vectors in state space.
14
A GENERAL UNIQUENESS RESULT OF AN ENDEMIC STATE FOR AN EPIDEMIC MODEL WITH EXTERNAL FORCE OF INFECTION
Cha, Young-Joon ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 597~608
DOI : 10.4134/CKMS.2007.22.4.597
Abstract
We present a general uniqueness result of an endemic state for an S-I-R model with external force of infection. We reduce the problem of finding non-trivial steady state solutions to that of finding zeros of a real function of one variable so that we can easily prove the uniqueness of an endemic state. We introduce an assumption which was usually used to show stability of a non-trivial steady state. It turns out that such an assumption adopted from a stability analysis is crucial for proving the uniqueness as well, and the assumption holds for almost all cases in our model.
15
COMPARISON BETWEEN THE POSITIVE SCHEMES AND WENO FOR HIGH MACH JETS IN 1D
Ha, Young-Soo ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 609~621
DOI : 10.4134/CKMS.2007.22.4.609
Abstract
Comparison of high Mach number jets using positive schemes and Weighted ENO methods is considered in this paper. The positive scheme introduced by [11, 14] and Weighted ENO [9, 10] have allowed us to simulate very high Mach numbers more than Mach 80. Simulations at high Mach numbers and with radiative cooling are essential for achieving detailed agreement with astrophysical images.
16
hp-DISCONTINUOUS GALERKIN METHODS FOR THE LOTKA-MCKENDRICK EQUATION: A NUMERICAL STUDY
Jeong, Shin-Ja ; Kim, Mi-Young ; Selenge, Tsendanysh ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 623~640
DOI : 10.4134/CKMS.2007.22.4.623
Abstract
The Lotka-McKendrick model which describes the evolution of a single population is developed from the well known Malthus model. In this paper, we introduce the Lotka-McKendrick model. We approximate the solution to the model using hp-discontinuous Galerkin finite element method. The numerical results show that the presented hp-discontinuous Galerkin method is very efficient in case that the solution has a sharp decay.
17
HAUSDORFF DISTANCE BETWEEN THE OFFSET CURVE OF QUADRATIC BEZIER CURVE AND ITS QUADRATIC APPROXIMATION
Ahn, Young-Joon ;
Communications of the Korean Mathematical Society, volume 22, issue 4, 2007, Pages 641~648
DOI : 10.4134/CKMS.2007.22.4.641
Abstract
In this paper, we present the exact Hausdorff distance between the offset curve of quadratic
curve and its quadratic
approximation. To illustrate the formula for the Hausdorff distance, we give an example of the quadratic
approximation of the offset curve of a quadratic
curve.