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Journal of the Korean Mathematical Society
Journal Basic Information
pISSN :
0304-9914
eISSN :
2234-3008
Journal DOI :
10.4134/JKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Yun Sung Choi
Volume & Issues
Volume 53, Issue 5 - Sep 2016
Volume 53, Issue 4 - Jul 2016
Volume 53, Issue 3 - May 2016
Volume 53, Issue 2 - Mar 2016
Volume 53, Issue 1 - Jan 2016
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1
𝓦-RESOLUTIONS AND GORENSTEIN CATEGORIES WITH RESPECT TO A SEMIDUALIZING BIMODULES
YANG, XIAOYAN ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 1~17
DOI : 10.4134/JKMS.2016.53.1.001
Abstract
Let
be an additive full subcategory of the category R-Mod of left R-modules. We provide a method to construct a proper
-resolution (resp. coproper
-coresolution) of one term in a short exact sequence in R-Mod from those of the other two terms. By using these constructions, we introduce and study the stability of the Gorenstein categories
and
with respect to a semidualizing bimodule C, and investigate the 2-out-of-3 property of these categories of a short exact sequence by using these constructions. Also we prove how they are related to the Gorenstein categories
and
over
.
2
SECOND-ORDER SYMMETRIC DUALITY IN MULTIOBJECTIVE PROGRAMMING OVER CONES
GULATI, TILAK RAJ ; MEHNDIRATTA, GEETA ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 19~25
DOI : 10.4134/JKMS.2016.53.1.019
Abstract
In this paper, some omissions in Mishra and Lai [13], have been pointed out and their corrective measures have been discussed briefly.
3
GLOBAL EXISTENCE AND BLOW-UP FOR A DEGENERATE REACTION-DIFFUSION SYSTEM WITH NONLINEAR LOCALIZED SOURCES AND NONLOCAL BOUNDARY CONDITIONS
LIANG, FEI ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 27~43
DOI : 10.4134/JKMS.2016.53.1.027
Abstract
This paper deals with a degenerate parabolic system with coupled nonlinear localized sources subject to weighted nonlocal Dirichlet boundary conditions. We obtain the conditions for global and blow-up solutions. It is interesting to observe that the weight functions for the nonlocal Dirichlet boundary conditions play substantial roles in determining not only whether the solutions are global or blow-up, but also whether the blowing up occurs for any positive initial data or just for large ones. Moreover, we establish the precise blow-up rate.
4
ON THE STRONG LAW OF LARGE NUMBERS FOR WEIGHTED SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES
SHEN, AITING ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 45~55
DOI : 10.4134/JKMS.2016.53.1.045
Abstract
Let {
} be a sequence of negatively superadditive dependent random variables. In the paper, we study the strong law of large numbers for general weighted sums
of negatively superadditive dependent random variables with non-identical distribution. Some sufficient conditions for the strong law of large numbers are provided. As applications, the Kolmogorov strong law of large numbers and Marcinkiewicz-Zygmund strong law of large numbers for negatively superadditive dependent random variables are obtained. Our results generalize the corresponding ones for independent random variables and negatively associated random variables.
5
MAXIMAL INEQUALITIES AND AN APPLICATION UNDER A WEAK DEPENDENCE
HWANG, EUNJU ; SHIN, DONG WAN ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 57~72
DOI : 10.4134/JKMS.2016.53.1.057
Abstract
We establish maximal moment inequalities of partial sums under
-weak dependence, which has been proposed by Doukhan and Louhichi [P. Doukhan and S. Louhichi, A new weak dependence condition and application to moment inequality, Stochastic Process. Appl. 84 (1999), 313-342], to unify weak dependence such as mixing, association, Gaussian sequences and Bernoulli shifts. As an application of maximal moment inequalities, a functional central limit theorem is developed for linear processes with
-weakly dependent innovations.
6
LINEAR RANK PRESERVERS ON INFINITE TRIANGULAR MATRICES
SLOWIK, ROKSANA ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 73~88
DOI : 10.4134/JKMS.2016.53.1.073
Abstract
We consider
- the space of all innite upper triangular matrices over a eld F. We give a description of all linear maps that satisfy the property: if rank(x) = 1, then
for all
. Moreover, we characterize all injective linear maps on
such that if rank(x) = k, then
.
7
COMMON SOLUTION TO GENERALIZED MIXED EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEM FOR A NONEXPANSIVE SEMIGROUP IN HILBERT SPACE
DJAFARI-ROUHANI, BEHZAD ; FARID, MOHAMMAD ; KAZMI, KALEEM RAZA ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 89~114
DOI : 10.4134/JKMS.2016.53.1.089
Abstract
In this paper, we introduce and study an explicit hybrid relaxed extragradient iterative method to approximate a common solution to generalized mixed equilibrium problem and fixed point problem for a nonexpansive semigroup in Hilbert space. Further, we prove that the sequence generated by the proposed iterative scheme converges strongly to the common solution to generalized mixed equilibrium problem and fixed point problem for a nonexpansive semigroup. This common solution is the unique solution of a variational inequality problem and is the optimality condition for a minimization problem. The results presented in this paper are the supplement, improvement and generalization of the previously known results in this area.
8
LONG PATHS IN THE DISTANCE GRAPH OVER LARGE SUBSETS OF VECTOR SPACES OVER FINITE FIELDS
BENNETT, MICHAEL ; CHAPMAN, JEREMY ; COVERT, DAVID ; HART, DERRICK ; IOSEVICH, ALEX ; PAKIANATHAN, JONATHAN ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 115~126
DOI : 10.4134/JKMS.2016.53.1.115
Abstract
Let
, the d-dimensional vector space over the finite field with q elements. Construct a graph, called the distance graph of E, by letting the vertices be the elements of E and connect a pair of vertices corresponding to vectors x, y 2 E by an edge if
. We shall prove that the non-overlapping chains of length k, with k in an appropriate range, are uniformly distributed in the sense that the number of these chains equals the statistically correct number,
plus a much smaller remainder.
9
ASYMPTOTIC BEHAVIORS OF SOLUTIONS FOR AN AEROTAXIS MODEL COUPLED TO FLUID EQUATIONS
CHAE, MYEONGJU ; KANG, KYUNGKEUN ; LEE, JIHOON ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 127~146
DOI : 10.4134/JKMS.2016.53.1.127
Abstract
We consider a coupled system of Keller-Segel type equations and the incompressible Navier-Stokes equations in spatial dimension two. We show temporal decay estimates of solutions with small initial data and obtain their asymptotic profiles as time tends to infinity.
10
SOME SUBORDINATION PROPERTIES OF THE LINEAR OPERATOR
PANIGRAHI, TRAILOKYA ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 147~159
DOI : 10.4134/JKMS.2016.53.1.147
Abstract
In this paper, subordination results of analytic function
involving linear operator
are obtained. By applying the differential subordination method, results are derived under some sufficient subordination conditions. On using some hypergeometric identities, corollaries of the main results are derived. Furthermore, convolution preserving properties for a class of multivalent analytic function associated with the operator
are investigated.
11
VARIATIONAL ANALYSIS OF AN ELECTRO-VISCOELASTIC CONTACT PROBLEM WITH FRICTION AND ADHESION
CHOUGUI, NADHIR ; DRABLA, SALAH ; HEMICI, NACERDINNE ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 161~185
DOI : 10.4134/JKMS.2016.53.1.161
Abstract
We consider a mathematical model which describes the quasistatic frictional contact between a piezoelectric body and an electrically conductive obstacle, the so-called foundation. A nonlinear electro-viscoelastic constitutive law is used to model the piezoelectric material. Contact is described with Signorini's conditions and a version of Coulomb's law of dry friction in which the adhesion of contact surfaces is taken into account. The evolution of the bonding field is described by a first order differential equation. We derive a variational formulation for the model, in the form of a system for the displacements, the electric potential and the adhesion. Under a smallness assumption which involves only the electrical data of the problem, we prove the existence of a unique weak solution of the model. The proof is based on arguments of time-dependent quasi-variational inequalities, differential equations and Banach's fixed point theorem.
12
A LINK BETWEEN ORDERED TREES AND GREEN-RED TREES
CHEON, GI-SANG ; KIM, HANA ; SHAPIR, LOUIS W. ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 187~199
DOI : 10.4134/JKMS.2016.53.1.187
Abstract
The r-ary number sequences given by
are analogs of the sequence of the Catalan numbers
. Their history goes back at least to Lambert [8] in 1758 and they are of considerable interest in sequential testing. Usually, the sequences are considered separately and the generalizations can go in several directions. Here we link the various r first by introducing a new combinatorial structure related to GR trees and then algebraically as well. This GR transition generalizes to give r-ary analogs of many sequences of combinatorial interest. It also lets us find infinite numbers of combinatorially defined sequences that lie between the Catalan numbers and the Ternary numbers, or more generally, between
and
.
13
EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR SCHRÖDINGER-KIRCHHOFF-TYPE EQUATIONS
CHEN, HAIBO ; LIU, HONGLIANG ; XU, LIPING ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 201~215
DOI : 10.4134/JKMS.2016.53.1.201
Abstract
In this paper, we consider the following
-Kirchhoff-type equations
, in
. Under certain assumptions on V and f, some new criteria on the existence and multiplicity of nontrivial solutions are established by the Morse theory with local linking and the genus properties in critical point theory. Some results from the previously literature are significantly extended and complemented.
14
ON IDEMPOTENTS IN RELATION WITH REGULARITY
HAN, JUNCHEOL ; LEE, YANG ; PARK, SANGWON ; SUNG, HYO JIN ; YUN, SANG JO ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 217~232
DOI : 10.4134/JKMS.2016.53.1.217
Abstract
We make a study of two generalizations of regular rings, concentrating our attention on the structure of idempotents. A ring R is said to be right attaching-idempotent if for
there exists
such that ab is an idempotent. Next R is said to be generalized regular if for
there exist nonzero
such that ab is a nonzero idempotent. It is first checked that generalized regular is left-right symmetric but right attaching-idempotent is not. The generalized regularity is shown to be a Morita invariant property. More structural properties of these two concepts are also investigated.
15
ANALYTIC EXTENSIONS OF M-HYPONORMAL OPERATORS
MECHERI, SALAH ; ZUO, FEI ;
Journal of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 233~246
DOI : 10.4134/JKMS.2016.53.1.233
Abstract
In this paper, we introduce the class of analytic extensions of M-hyponormal operators and we study various properties of this class. We also use a special Sobolev space to show that every analytic extension of an M-hyponormal operator T is subscalar of order 2k + 2. Finally we obtain that an analytic extension of an M-hyponormal operator satisfies Weyl's theorem.