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Bulletin of the Korean Mathematical Society
Journal Basic Information
pISSN :
1015-8634
eISSN :
2234-3016
Journal DOI :
10.4134/BKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 51, Issue 6 - Nov 2014
Volume 51, Issue 5 - Sep 2014
Volume 51, Issue 4 - Jul 2014
Volume 51, Issue 3 - May 2014
Volume 51, Issue 2 - Mar 2014
Volume 51, Issue 1 - Jan 2014
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1
WHEN AN
-CLOSED SUBMODULE IS A DIRECT SUMMAND
Wang, Yongduo ; Wu, Dejun ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 613~619
DOI : 10.4134/BKMS.2014.51.3.613
Abstract
It is well known that a direct sum of CLS-modules is not, in general, a CLS-module. It is proved that if
, where
and
are CLS-modules such that
and
are relatively ojective (or
is
-ejective), then M is a CLS-module and some known results are generalized.
2
SOLUTIONS OF SYSTEMS OF VARIATIONAL INEQUALITIES ON FIXED POINTS OF NONEXPANSIVE MAPPINGS
Piri, Hossein ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 621~640
DOI : 10.4134/BKMS.2014.51.3.621
Abstract
In this paper, we introduce a new approximating method for finding the common element of the set of fixed points of nonexpansive mappings and the set of solution of system variational inequalities for finite family of inverse strongly monotone mappings and strictly pseudo-contractive of Browder-Petryshyn type mappings. We show that the sequence converges strongly to a common element the above two sets under some parameter controling conditions. Our results improve and extend the results announced by many others.
3
CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION ON OPEN SET
Gong, Xiaobing ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 641~651
DOI : 10.4134/BKMS.2014.51.3.641
Abstract
Because of difficulty of using Schauder's fixed point theorem to the polynomial-like iterative equation, a lots of work are contributed to the existence of solutions for the polynomial-like iterative equation on compact set. In this paper, by applying the Schauder-Tychonoff fixed point theorem we discuss monotone solutions and convex solutions of the polynomial-like iterative equation on an open set (possibly unbounded) in
. More concretely, by considering a partial order in
defined by an order cone, we prove the existence of increasing and decreasing solutions of the polynomial-like iterative equation on an open set and further obtain the conditions under which the solutions are convex in the order.
4
RESULTS OF CERTAIN LOCAL COHOMOLOGY MODULES
Mafi, Amir ; Talemi, Atiyeh Pour Eshmanan ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 653~657
DOI : 10.4134/BKMS.2014.51.3.653
Abstract
Let R be a commutative Noetherian ring, I and J two ideals of R, and M a finitely generated R-module. We prove that
is finitely generated for i = 0, 1 where t=inf{
is not finitely generated}. Also, we prove that
is Artinian when dim(R/I + J) = 0 and i = 0, 1.
5
T-NEIGHBORHOODS IN VARIOUS CLASSES OF ANALYTIC FUNCTIONS
Shams, Saeid ; Ebadian, Ali ; Sayadiazar, Mahta ; Sokol, Janusz ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 659~666
DOI : 10.4134/BKMS.2014.51.3.659
Abstract
Let
be the class of analytic functions f in the open unit disk
={z :
< 1} with the normalization conditions
. If
and
> 0 are given, then the
-neighborhood of the function f is defined as
, where
is a sequence of positive numbers. In the present paper we investigate some problems concerning
-neighborhoods of function in various classes of analytic functions with
. We also find bounds for
defined by
where A, B are given subsets of
.
6
ON
-SCATTERED SPACES
Li, Zhaowen ; Lu, Shizhan ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 667~680
DOI : 10.4134/BKMS.2014.51.3.667
Abstract
In this paper,
-scattered spaces are introduced, and their characterizations and properties are given. We prove that (X,
) is scattered if and only if (X,
,
) is
-scattered for any ideal
on X.
7
GENERAL DECAY FOR A SEMILINEAR WAVE EQUATION WITH BOUNDARY FRICTIONAL AND MEMORY CONDITIONS
Park, Sun Hye ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 681~689
DOI : 10.4134/BKMS.2014.51.3.681
Abstract
In this paper, we investigate the influence of boundary dissipations on decay property of the solutions for a semilinear wave equation with damping and memory condition on the boundary using the multiplier technique.
8
NORMAL FAMILY OF MEROMORPHIC FUNCTIONS
Wang, Jian-Ping ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 691~700
DOI : 10.4134/BKMS.2014.51.3.691
Abstract
We study normality for families of meromorphic functions which is related to an extended version of a Hayman's conjecture on value distribution, and prove several normality criteria for meromorphic functions and certain non-homogeneous differential polynomials.
9
KRUSKAL-WALLIS ONE-WAY ANALYSIS OF VARIANCE BASED ON LINEAR PLACEMENTS
Hong, Yicheng ; Lee, Sungchul ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 701~716
DOI : 10.4134/BKMS.2014.51.3.701
Abstract
The limiting distribution for the linear placement statistics under the null hypotheses has been provided by Orban and Wolfe [9] and Kim [5] when one of the sample sizes goes to infinity, and by Kim, Lee and Wang [6] when the sample sizes of each group go to infinity simultaneously. In this paper we establish the generalized Kruskal-Wallis one-way analysis of variance for the linear placement statistics.
10
QUADRATURE BASED FINITE ELEMENT METHODS FOR LINEAR PARABOLIC INTERFACE PROBLEMS
Deka, Bhupen ; Deka, Ram Charan ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 717~737
DOI : 10.4134/BKMS.2014.51.3.717
Abstract
We study the effect of numerical quadrature in space on semidiscrete and fully discrete piecewise linear finite element methods for parabolic interface problems. Optimal
and
error estimates are shown to hold for semidiscrete problem under suitable regularity of the true solution in whole domain. Further, fully discrete scheme based on backward Euler method has also analyzed and optimal
norm error estimate is established. The error estimates are obtained for fitted finite element discretization based on straight interface triangles.
11
ON THE NONLINEAR MATRIX EQUATION
(0＜q≤1)
Yin, Xiaoyan ; Wen, Ruiping ; Fang, Liang ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 739~763
DOI : 10.4134/BKMS.2014.51.3.739
Abstract
In this paper, the nonlinear matrix equation
<
is investigated. Some necessary conditions and sufficient conditions for the existence of positive definite solutions for the matrix equation are derived. Two iterative methods for the maximal positive definite solution are proposed. A perturbation estimate and an explicit expression for the condition number of the maximal positive definite solution are obtained. The theoretical results are illustrated by numerical examples.
12
GROUP INVERSE AND GENERALIZED DRAZIN INVERSE OF BLOCK MATRICES IN A BANACH ALGEBRA
Mosic, Dijana ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 765~771
DOI : 10.4134/BKMS.2014.51.3.765
Abstract
Necessary and sufficient conditions for the existence of the group inverse of an anti-triangular block matrix in Banach algebras are presented. Using these results, we give the formulae for the generalized Drazin inverse of a block matrix.
13
APPROXIMATION METHODS FOR A COMMON MINIMUM-NORM POINT OF A SOLUTION OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN BANACH SPACES
Shahzad, N. ; Zegeye, H. ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 773~788
DOI : 10.4134/BKMS.2014.51.3.773
Abstract
We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems improve most of the results that have been proved for this important class of nonlinear operators.
14
GROUND STATE SOLUTIONS OF NON-RESONANT COOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR TERMS
Chen, Guanwei ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 789~801
DOI : 10.4134/BKMS.2014.51.3.789
Abstract
In this paper, we study the existence of ground state solutions for a class of non-resonant cooperative elliptic systems by a variant weak linking theorem. Here the classical Ambrosetti-Rabinowitz superquadratic condition is replaced by a general super quadratic condition.
15
HARMONIC MAPPINGS RELATED TO FUNCTIONS WITH BOUNDED BOUNDARY ROTATION AND NORM OF THE PRE-SCHWARZIAN DERIVATIVE
Kanas, Stanis lawa ; Klimek-Smet, Dominika ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 803~812
DOI : 10.4134/BKMS.2014.51.3.803
Abstract
Let
be the class of normalized univalent harmonic mappings in the unit disk. A subclass
of
, whose analytic part is function with bounded boundary rotation, is introduced. Some bounds for functionals, specially harmonic pre-Schwarzian derivative, described in
are given.
16
QUASIPOLAR MATRIX RINGS OVER LOCAL RINGS
Cui, Jian ; Yin, Xiaobin ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 813~822
DOI : 10.4134/BKMS.2014.51.3.813
Abstract
A ring R is called quasipolar if for every a 2 R there exists
such that
,
and
. The class of quasipolar rings lies properly between the class of strongly
-regular rings and the class of strongly clean rings. In this paper, we determine when a
matrix over a local ring is quasipolar. Necessary and sufficient conditions for a
matrix ring to be quasipolar are obtained.
17
SOME CLASSIFICATIONS OF RULED SUBMANIFOLDS
Kim, Dong-Soo ; Kim, Young Ho ; Jung, Sun Mi ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 823~829
DOI : 10.4134/BKMS.2014.51.3.823
Abstract
Ruled submanifolds in Euclidean space satisfying some algebraic equations concerning the Laplace operator related to the isometric immersion and Gauss map are studied. Cylinders over a finite type curve or generalized helicoids are characterized with such algebraic equations.
18
A FURTHER INVESTIGATION OF GENERATING FUNCTIONS RELATED TO PAIRS OF INVERSE FUNCTIONS WITH APPLICATIONS TO GENERALIZED DEGENERATE BERNOULLI POLYNOMIALS
Gaboury, Sebastien ; Tremblay, Richard ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 831~845
DOI : 10.4134/BKMS.2014.51.3.831
Abstract
In this paper, we obtain new generating functions involving families of pairs of inverse functions by using a generalization of the Srivastava's theorem [H. M. Srivastava, Some generalizations of Carlitz's theorem, Pacific J. Math. 85 (1979), 471-477] obtained by Tremblay and Fug
ere [Generating functions related to pairs of inverse functions, Transform methods and special functions, Varna '96, Bulgarian Acad. Sci., Sofia (1998), 484-495]. Special cases are given. These can be seen as generalizations of the generalized Bernoulli polynomials and the generalized degenerate Bernoulli polynomials.
19
FINITE ELEMENT APPROXIMATIONS OF THE OPTIMAL CONTROL PROBLEMS FOR STOCHASTIC STOKES EQUATIONS
Choi, Youngmi ; Kim, Soohyun ; Lee, Hyung-Chun ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 847~862
DOI : 10.4134/BKMS.2014.51.3.847
Abstract
Finite element approximation solutions of the optimal control problems for stochastic Stokes equations with the forcing term perturbed by white noise are considered. Error estimates are established for the fully coupled optimality system using Brezzi-Rappaz-Raviart theory. Numerical examples are also presented to examine our theoretical results.
20
SOME WARPED PRODUCT SUBMANIFOLDS OF A KENMOTSU MANIFOLD
Khan, Viqar Azam ; Shuaib, Mohammad ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 863~881
DOI : 10.4134/BKMS.2014.51.3.863
Abstract
Many differential geometric properties of a submanifold of a Kaehler manifold are conceived via canonical structure tensors T and F on the submanifold. For instance, a CR-submanifold of a Kaehler manifold is a CR-product if and only if T is parallel on the submanifold (c.f. [2]). Warped product submanifolds are generalized version of CR-product submanifolds. Therefore, it is natural to see how the non-triviality of the covariant derivatives of T and F gives rise to warped product submanifolds. In the present article, we have worked out characterizations in terms of T and F under which a contact CR- submanifold of a Kenmotsu manifold reduces to a warped product submanifold.
21
GCR-LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN PRODUCT MANIFOLD
Kumar, Sangeet ; Kumar, Rakesh ; Nagaich, Rakesh Kumar ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 883~899
DOI : 10.4134/BKMS.2014.51.3.883
Abstract
We introduce GCR-lightlike submanifold of a semi-Riemannian product manifold and give an example. We study geodesic GCR-lightlike submanifolds of a semi-Riemannian product manifold and obtain some necessary and sufficient conditions for a GCR-lightlike submanifold to be a GCR-lightlike product. Finally, we discuss minimal GCR-lightlike submanifolds of a semi-Riemannian product manifold.
22
AREA OF TRIANGLES ASSOCIATED WITH A CURVE
Kim, Dong-Soo ; Shim, Kyu-Chul ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 901~909
DOI : 10.4134/BKMS.2014.51.3.901
Abstract
It is well known that the area U of the triangle formed by three tangents to a parabola X is half of the area T of the triangle formed by joining their points of contact. In this article, we study some properties of U and T for strictly convex plane curves. As a result, we establish a characterization for parabolas.
23
MERIDIAN SURFACES IN 𝔼
^{4}
WITH POINTWISE 1-TYPE GAUSS MAP
Arslan, Kadri ; Bulca, Betul ; Milousheva, Velichka ;
Bulletin of the Korean Mathematical Society, volume 51, issue 3, 2014, Pages 911~922
DOI : 10.4134/BKMS.2014.51.3.911
Abstract
In the present article we study a special class of surfaces in the four-dimensional Euclidean space, which are one-parameter systems of meridians of the standard rotational hypersurface. They are called meridian surfaces. We show that a meridian surface has a harmonic Gauss map if and only if it is part of a plane. Further, we give necessary and sufficient conditions for a meridian surface to have pointwise 1-type Gauss map and find all meridian surfaces with pointwise 1-type Gauss map.