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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 :
Volume & Issues
Volume 26, Issue 4 - Oct 2011
Volume 26, Issue 3 - Jul 2011
Volume 26, Issue 2 - Apr 2011
Volume 26, Issue 1 - Jan 2011
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1
LOCALLY-ZERO GROUPOIDS AND THE CENTER OF BIN(X)
Fayoumi, Hiba F. ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 163~168
DOI : 10.4134/CKMS.2011.26.2.163
Abstract
In this paper we introduce the notion of the center ZBin(X) in the semigroup Bin(X) of all binary systems on a set X, and show that if (X,
)
ZBin(X), then x
y implies {x,y}=
. Moreover, we show that a groupoid (X,
)
ZBin(X) if and only if it is a locally-zero groupoid.
2
BIPOLAR FUZZY HYPER MV-DEDUCTIVE SYSTEMS OF HYPER MV-ALGEBRAS
Kang, Min-Su ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 169~182
DOI : 10.4134/CKMS.2011.26.2.169
Abstract
The notions of bipolar fuzzy hyper MV-subalgebras, (weak) bipolar fuzzy hyper MV-deductive system and precisely weak bipolar fuzzy hyper MV-deductive system are introduced, and their relations are investigated. Characterizations of bipolar fuzzy hyper MV-subalgebras and weak bipolar fuzzy hyper MV-deductive systems are provided.
3
IMPLICATIVE SOFT IDEALS AND IMPLICATIVE IDEALISTIC SOFT BCK-ALGEBRAS
Lee, Kyoung-Ja ; Jun, Young-Bae ; Park, Chul-Hwan ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 183~196
DOI : 10.4134/CKMS.2011.26.2.183
Abstract
Molodtsov [5] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to an implicative ideal of BCK-algebras. The notion of implicative soft ideals in BCK-algebras and implicative idealistic soft BCK-algebras is introduced, and related properties are investigated. Relations between implicative soft ideals and commutative (resp. positive implicative) soft ideals are discussed. Also, relations between implicative idealistic soft BCK-algebras and commutative (resp. positive implicative) idealistic soft BCK-algebras are provided.
4
OSCILLATION OF ONE ORDER NEUTRAL DIFFERENTIAL EQUATION WITH IMPULSES
Cheng, Jinfa ; Chu, Yuming ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 197~205
DOI : 10.4134/CKMS.2011.26.2.197
Abstract
Explicit sufficient conditions are established for the oscillation of the one order neutral differential equations with impulsive
,
,
,
,
,
>0,
>0,
. Explicit sufficient and necessary condition are established when
= 0, i = 1, 2,
, n.
5
THE MULTISOLITON SOLUTION OF GENERALIZED BURGER'S EQUATION BY THE FORMAL LINEARIZATION METHOD
Mirzazadeh, Mohammad ; Taghizadeh, Nasir ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 207~214
DOI : 10.4134/CKMS.2011.26.2.207
Abstract
The formal linearization method is an efficient method for constructing multisoliton solution of some nonlinear partial differential equations. This method can be applied to nonintegrable equations as well as to integrable ones. In this paper, we obtain multisoliton solution of generalization Burger's equation and the (3+1)-dimension Burger's equation and the Boussinesq equation by the formal linearization method.
6
WEAKLY SUFFICIENT SETS FOR WEIGHTED SPACES h
_{Φ}
^{-}
^{∞}
(B)
Khoi, Le Hai ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 215~227
DOI : 10.4134/CKMS.2011.26.2.215
Abstract
In this paper we introduce a class
of weighted spaces of harmonic functions in the unit ball
of
. We dene weakly sufficient sets in this space and give an explicit construction of countable sets of such a type. Various examples of weight functions are also discussed.
7
CONVERGENCE OF ISHIKAWA ITERATION WITH ERROR TERMS ON AN ARBITRARY INTERVAL
Yuan, Qing ; Cho, Sun-Young ; Qin, Xiaolong ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 229~235
DOI : 10.4134/CKMS.2011.26.2.229
Abstract
In this paper, a continuous real function on the real line is considered. The necessary and sufficient conditions for the convergence of the Ishikawa iteration with error terms for the functional are obtained.
8
STABILITY OF A QUADRATIC FUNCTIONAL EQUATION IN INTUITIONISTIC FUZZY NORMED SPACES
Bae, Jae-Hyeong ; Park, Won-Gil ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 237~251
DOI : 10.4134/CKMS.2011.26.2.237
Abstract
In this paper, we determine some stability results concerning the 2-dimensional vector variable quadratic functional equation f(x+y, z+w) + f(x-y, z-w) = 2f(x, z) + 2f(y, w) in intuitionistic fuzzy normed spaces (IFNS). We dene the intuitionistic fuzzy continuity of the 2-dimensional vector variable quadratic mappings and prove that the existence of a solution for any approximately 2-dimensional vector variable quadratic mapping implies the completeness of IFNS.
9
SUPERSTABILITY OF MULTIPLICATIVE LINEAR MAPPINGS
Anjidani, Ehsan ; Ansari-Piri, Esmaeil ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 253~259
DOI : 10.4134/CKMS.2011.26.2.253
Abstract
Let A and B be Banach algebras with unit. Here we prove that an approximate algebra homomorphism f : A
B, in the sense of Rassias, is an algebra homomorphism.
10
ON THE HYERS-ULAM-RASSIAS STABILITY OF THE JENSEN EQUATION IN DISTRIBUTIONS
Lee, Eun-Gu ; Chung, Jae-Young ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 261~271
DOI : 10.4134/CKMS.2011.26.2.261
Abstract
We consider the Hyers-Ulam-Rassias stability problem
,
for the Schwartz distributions u, which is a distributional version of the Hyers-Ulam-Rassias stability problem of the Jensen functional equation
,
for the function f :
.
11
CONDITIONAL GENERALIZED FOURIER-FEYNMAN TRANSFORM OF FUNCTIONALS IN A FRESNEL TYPE CLASS
Chang, Seung-Jun ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 273~289
DOI : 10.4134/CKMS.2011.26.2.273
Abstract
In this paper we dene the concept of a conditional generalized Fourier-Feynman transform on very general function space
[0, T]. We then establish the existence of the conditional generalized Fourier-Feynman transform for functionals in a Fresnel type class. We also obtain several results involving the conditional transform. Finally we present functionals to apply our results. The functionals arise naturally in Feynman integration theories and quantum mechanics.
12
REMARKS ON γ-OPERATIONS INDUCED BY A TOPOLOGY
Min, Won-Keun ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 291~296
DOI : 10.4134/CKMS.2011.26.2.291
Abstract
Cs
sz
r [3] introduced the notions of
-compact and
-operation on a topological space. In this paper, we introduce the notions of almost
-compact, (
)-continuous function and (
)-open function defined by
-operation on a topological space and investigate some properties for such notions.
13
A NOTE ON SPACES WHICH HAVE COUNTABLE TIGHTNESS
Hong, Woo-Chorl ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 297~304
DOI : 10.4134/CKMS.2011.26.2.297
Abstract
In this paper, we introduce closure operators [
]c and [
]a on a space and study some relations among [
]c, [
]a and countable tightness. We introduce the concepts of a strongly sequentially closed set and a strongly sequentially open set and show that a space X has countable tightness if and only if every strongly sequentially closed set is closed if and only if every strongly sequentially open set is open. Finally we find a generalization of the weak Fr
chet-Urysohn property which is equivalent to countable tightness.
14
CONTINUITY OF FUZZY PROPER FUNCTIONS ON SOSTAK'S I-FUZZY TOPOLOGICAL SPACES
Roopkumar, Rajakumar ; Kalaivani, Chandran ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 305~320
DOI : 10.4134/CKMS.2011.26.2.305
Abstract
The relations among various types of continuity of fuzzy proper function on a fuzzy set and at fuzzy point belonging to the fuzzy set in the context of
ostak's I-fuzzy topological spaces are discussed. The projection maps are defined as fuzzy proper functions and their properties are proved.
15
BIFURCATION ANALYSIS OF A DELAYED EPIDEMIC MODEL WITH DIFFUSION
Xu, Changjin ; Liao, Maoxin ;
Communications of the Korean Mathematical Society, volume 26, issue 2, 2011, Pages 321~338
DOI : 10.4134/CKMS.2011.26.2.321
Abstract
In this paper, a class of delayed epidemic model with diffusion is investigated. By analyzing the associated characteristic transcendental equation, its linear stability is investigated and Hopf bifurcation is demonstrated. Some explicit formulae determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory. Some numerical simulation are also carried out to support our analytical findings. Finally, biological explanations and main conclusions are given.