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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 :
Yongnam Lee
Volume & Issues
Volume 48, Issue 6 - Nov 2011
Volume 48, Issue 5 - Sep 2011
Volume 48, Issue 4 - Jul 2011
Volume 48, Issue 3 - May 2011
Volume 48, Issue 2 - Mar 2011
Volume 48, Issue 1 - Jan 2011
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1
L
^{2}
-ERROR ANALYSIS OF FULLY DISCRETE DISCONTINUOUS GALERKIN APPROXIMATIONS FOR NONLINEAR SOBOLEV EQUATIONS
Ohm, Mi-Ray ; Lee, Hyun-Young ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 897~915
DOI : 10.4134/BKMS.2011.48.5.897
Abstract
In this paper, we develop a symmetric Galerkin method with interior penalty terms to construct fully discrete approximations of the solution for nonlinear Sobolev equations. To analyze the convergence of discontinuous Galerkin approximations, we introduce an appropriate projection and derive the optimal
error estimates.
2
GENERALIZED DERIVATIONS WITH ANNIHILATOR CONDITIONS IN PRIME RINGS
Wang, Yu ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 917~922
DOI : 10.4134/BKMS.2011.48.5.917
Abstract
Let R be a prime ring, H a generalized derivation of R, L a noncentral Lie ideal of R, and 0
a
R. Suppose that
3
STRONG LIMIT THEOREMS FOR WEIGHTED SUMS OF NOD SEQUENCE AND EXPONENTIAL INEQUALITIES
Wang, Xuejun ; Hu, Shuhe ; Volodin, Andrei I. ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 923~938
DOI : 10.4134/BKMS.2011.48.5.923
Abstract
Some properties for negatively orthant dependent sequence are discussed. Some strong limit results for the weighted sums are obtained, which generalize the corresponding results for independent sequence and negatively associated sequence. At last, exponential inequalities for negatively orthant dependent sequence are presented.
4
MATCHING THEOREMS AND SIMULTANEOUS RELATION PROBLEMS
Balaj, Mircea ; Coroianu, Lucian ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 939~949
DOI : 10.4134/BKMS.2011.48.5.939
Abstract
In this paper we give two matching theorems of Ky Fan type concerning open or closed coverings of nonempty convex sets in a topological vector space. One of them will permit us to put in evidence, when X and Y are convex sets in topological vector spaces, a new subclass of KKM(X, Y) different by any admissible class
(X, Y). For this class of set-valued mappings we establish a KKM-type theorem which will be then used for obtaining existence theorems for the solutions of two types of simultaneous relation problems.
5
A NOTE ON THE BRÜCK CONJECTURE
Lu, Feng ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 951~957
DOI : 10.4134/BKMS.2011.48.5.951
Abstract
In 1996, Br
ck studied the relation between f and f` if an entire function f shares one value a CM with its first derivative f` and posed the famous Br
ck conjecture. In this work, we generalize the value a in the Br
ck conjecture to a small function
. Meanwhile, we prove that the Br
ck conjecture holds for a class of meromorphic functions.
6
ON THE STABILITY OF BI-DERIVATIONS IN BANACH ALGEBRAS
Jung, Yong-Soo ; Park, Kyoo-Hong ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 959~967
DOI : 10.4134/BKMS.2011.48.5.959
Abstract
Let A be a Banach algebra and let f :
be an approximate bi-derivation in the sense of Hyers-Ulam-Rassias. In this note, we proves the Hyers-Ulam-Rassias stability of bi-derivations on Banach algebras. If, in addition, A is unital, then f :
is an exact bi-derivation. Moreover, if A is unital, prime and f is symmetric, then f
7
RANKS OF SUBMATRICES IN A GENERAL SOLUTION TO A QUATERNION SYSTEM WITH APPLICATIONS
Zhang, Hua-Sheng ; Wang, Qing-Wen ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 969~990
DOI : 10.4134/BKMS.2011.48.5.969
Abstract
Assume that X, partitioned into
block form, is a solution of the system of quaternion matrix equations
8
AN ITERATION SCHEMES FOR NONEXPANSIVE MAPPINGS AND VARIATIONAL INEQUALITIES
Wang, Hong-Jun ; Song, Yi-Sheng ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 991~1002
DOI : 10.4134/BKMS.2011.48.5.991
Abstract
An iterative algorithm is provided to find a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of some variational inequality in a Hilbert space. Using this result, we consider a strong convergence result for finding a common fixed point of a nonexpansive mapping and a strictly pseudocontractive mapping. Our results include the previous results as special cases and can be viewed as an improvement and refinement of the previously known results.
9
CONVOLUTIONS OF WHITE NOISE OPERATORS
Ji, Un-Cig ; Kim, Young-Yi ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 1003~1014
DOI : 10.4134/BKMS.2011.48.5.1003
Abstract
Motivated by the convolution product of white noise functionals, we introduce a new notion of convolution products of white noise operators. Then we study several interesting relations between the convolution products and the quantum generalized Fourier-Mehler transforms, and study a quantum-classical correspondence.
10
ON FIXED POINTS ON COMPACT RIEMANN SURFACES
Gromadzki, Grzegorz ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 1015~1021
DOI : 10.4134/BKMS.2011.48.5.1015
Abstract
A point of a Riemann surface X is said to be its fixed point if it is a fixed point of one of its nontrivial holomorphic automorphisms. We start this note by proving that the set Fix(X) of fixed points of Riemann surface X of genus g
2 has at most 82(g-1) elements and this bound is attained just for X having a Hurwitz group of automorphisms, i.e., a group of order 84(g-1). The set of such points is invariant under the group of holomorphic automorphisms of X and we study the corresponding symmetric representation. We show that its algebraic type is an essential invariant of the topological type of the holomorphic action and we study its kernel, to find in particular some sufficient condition for its faithfulness.
11
AN EKELAND TYPE VARIATIONAL PRINCIPLE ON GAUGE SPACES WITH APPLICATIONS TO FIXED POINT THEORY, DROP THEORY AND COERCIVITY
Bae, Jong-Sook ; Cho, Seong-Hoon ; Kim, Jeong-Jin ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 1023~1032
DOI : 10.4134/BKMS.2011.48.5.1023
Abstract
In this paper, a new Ekeland type variational principle on gauge spaces is established. As applications, we give Caristi-Kirk type fixed point theorems on gauge spaces, and Dane
` drop theorem on seminormed spaces. Also, we show that the Palais-Smale condition implies coercivity on semi-normed spaces.
12
MULTIPLICATIVE SET OF IDEMPOTENTS IN A SEMIPERFECT RING
Park, Sang-Won ; Han, Jun-Cheol ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 1033~1039
DOI : 10.4134/BKMS.2011.48.5.1033
Abstract
Let R be a ring with identity 1, I(R) be the set of all idempotents in R and G be the group of all units of R. In this paper, we show that for any semiperfect ring R in which 2
13
A NEW KIND OF THE LAW OF THE ITERATED LOGARITHM FOR PRODUCT OF A CERTAIN PARTIAL SUMS
Zang, Qing-Pei ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 1041~1046
DOI : 10.4134/BKMS.2011.48.5.1041
Abstract
Let {X,
} be a sequence of independent and identically distributed positive random variables. Denote $S_n
14
EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR SECOND-ORDER STURM-LIOUVILLE AND MULTI-POINT PROBLEMS ON TIME SCALES
Sang, Yan-Bin ; Wei, Zhongli ; Dong, Wei ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 1047~1061
DOI : 10.4134/BKMS.2011.48.5.1047
Abstract
In this paper, a class of second-order boundary value problems with Sturm-Liouville boundary conditions or multi-point conditions is considered. Some existence and uniqueness theorems of positive solutions of the problem are obtained by using monotone iterative technique, the iterative sequences yielding approximate solutions are also given. The results are illustrated with an example.
15
APPROXIMATION OF CUBIC MAPPINGS WITH n-VARIABLES IN β-NORMED LEFT BANACH MODULE ON BANACH ALGEBRAS
Gordji, Majid Eshaghi ; Khodaei, Hamid ; Najati, Abbas ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 1063~1078
DOI : 10.4134/BKMS.2011.48.5.1063
Abstract
Let M
16
CONVERGENCE OF THE NEWTON`S METHOD FOR AN OPTIMAL CONTROL PROBLEMS FOR NAVIER-STOKES EQUATIONS
Choi, Young-Mi ; Kim, Sang-Dong ; Lee, Hyung-Chun ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 1079~1092
DOI : 10.4134/BKMS.2011.48.5.1079
Abstract
We consider the Newton`s method for an direct solver of the optimal control problems of the Navier-Stokes equations. We show that the finite element solutions of the optimal control problem for Stoke equations may be chosen as the initial guess for the quadratic convergence of Newton`s algorithm applied to the optimal control problem for the Navier-Stokes equations provided there are sufficiently small mesh size h and the moderate Reynold`s number.
17
COMPACT MATRIX OPERATORS BETWEEN THE SPACES m(ϕ), n(ϕ) AND ℓ
_{p}
Malkowsky, Eberhard ; Mursaleen, Mohammad ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 1093~1103
DOI : 10.4134/BKMS.2011.48.5.1093
Abstract
We give the characterizations of the classes of matrix trans-formations (
), (
) ([5, Theorem 2]), (
) ([5, Theorem 1]) and (
) for
, establish estimates for the norms of the bounded linear operators defined by those matrix transformations and characterize the corresponding subclasses of compact matrix operators.
18
APPROXIMATION AND INTERPOLATION IN THE SPACE OF CONTINUOUS FUNCTIONS VANISHING AT INFINITY
Kashimot, Marcia ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 1105~1109
DOI : 10.4134/BKMS.2011.48.5.1105
Abstract
We establish a result concerning simultaneous approximation and interpolation from certain uniformly dense subsets of the space of vector-valued continuous functions vanishing at infinity on locally compact Hausdorff spaces.
19
RADIAL SYMMETRY OF TOPOLOGICAL SOLUTIONS IN THE SELF-DUAL MAXWELL-CHERN-SIMONS GAUGED O(3) SIGMA MODEL
Song, Kyung-Woo ;
Bulletin of the Korean Mathematical Society, volume 48, issue 5, 2011, Pages 1111~1117
DOI : 10.4134/BKMS.2011.48.5.1111
Abstract
Using the moving plane method, we establish the radial symmetry of topological one-vortex solutions of a semilinear elliptic system arising from the self-dual Maxwell-Chern-Simons O(3) model.