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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 41, Issue 6 - Nov 2004
Volume 41, Issue 5 - Sep 2004
Volume 41, Issue 4 - Jul 2004
Volume 41, Issue 3 - May 2004
Volume 41, Issue 2 - Mar 2004
Volume 41, Issue 1 - Jan 2004
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1
FIXED-POINT THEORY FOR k-SET CONTRACTION
Chen, Chi-Ming ; Chang, Tong-Huel ; Yen, Chi-Lin ;
Journal of the Korean Mathematical Society, volume 41, issue 2, 2004, Pages 243~248
DOI : 10.4134/JKMS.2004.41.2.243
Abstract
In this note, we get some generalized KKM theorems for the k-set contraction mapping on the nearly-convex sets.
2
NEW ESTIMATES OF THE CEBYSEV FUNCTIONAL FOR STIELTJES INTEGRALS AND APPLICATIONS
Dragomir, S.S. ;
Journal of the Korean Mathematical Society, volume 41, issue 2, 2004, Pages 249~264
DOI : 10.4134/JKMS.2004.41.2.249
Abstract
In this paper, some new estimates of the Cebysev functional for Stieltjes integrals are provided. Applications for quadrature formulae in approximating the Riemann-Stieltjes integral are also given.
3
CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION PRODUCT OVER WIENER PATHS IN ABSTRACT WIENER SPACE: AN L
_{p}
THEORY
Cho, Dong-Hyun ;
Journal of the Korean Mathematical Society, volume 41, issue 2, 2004, Pages 265~294
DOI : 10.4134/JKMS.2004.41.2.265
Abstract
In this paper, using a simple formula, we evaluate the conditional Fourier-Feynman transforms and the conditional convolution products of cylinder type functions, and show that the conditional Fourier-Feynman transform of the conditional convolution product is expressed as a product of the conditional Fourier-Feynman transforms. Also, we evaluate the conditional Fourier-Feynman transforms of the functions of the forms exp {∫sub o/
(s,
(s))ds}, exp{∫sub o/
(s,
(s))ds}
(
(T)), exp{∫sub o/
(s,
(s))dζ(s)}, exp{∫sub o/
(s,
(s))dζ(s)}
(
(T)) which are of interest in Feynman integration theories and quantum mechanics.ics.ጊ缀Ѐ㘰〻Ԁ䭃䑎䷙౼6㈰⸳㬅K䍄乍숗ᔌꄀ㘲ㄮ㠻Ԁ䭃䑎䴀
4
EXISTENCE OF THE INTEGRAL SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL INCLUSIONS
Park, Jong-Yeoul ; Park, Jeon-Gyo ; Lee, Haeng-Joo ;
Journal of the Korean Mathematical Society, volume 41, issue 2, 2004, Pages 295~308
DOI : 10.4134/JKMS.2004.41.2.295
Abstract
In this paper, we prove the existence of integral solutions, defined on a compact interval, for functional differential inclusion with nonlocal conditions and impulsive functional differential inclusions in a Banach space.
5
ON GEOMETRIC ERGODICITY OF AN AR-ARCH TYPE PROCESS WITH MARKOV SWITCHING
Lee, Oe-Sook ; Shin, Dong-Wan ;
Journal of the Korean Mathematical Society, volume 41, issue 2, 2004, Pages 309~318
DOI : 10.4134/JKMS.2004.41.2.309
Abstract
We consider a nonlinear AR-ARCH type process subject to Markov-switching and give sufficient conditions for geometric ergodicity of the process. Existence of moments is also obtained.
6
CONDITIONAL INTEGRALS ON ABSTRACT WIENER AND HILBERT SPACES WITH APPLICATION TO FEYNMAN INTEGRALS
Chung, Dong-Myung ; Kang, Soon-Ja ; Lim, Kyung-Pil ;
Journal of the Korean Mathematical Society, volume 41, issue 2, 2004, Pages 319~344
DOI : 10.4134/JKMS.2004.41.2.319
Abstract
In this paper, we define conditional integrals on abstract Wiener and Hilbert spaces and then obtain a formula for evaluating the integrals. We use this formula to establish the existence of conditional Feynman integrals for the classes
(B) and
(H) of functions on abstract Wiener and Hilbert spaces and then specialize this result to provide the fundamental solution to the Schrodinger equation with the forced harmonic oscillator.tor.
7
PRECONDITIONING FOR THE p-VERSION BOUNDARY ELEMENT METHOD IN THREE DIMENSIONS WITH TRIANGULAR ELEMENTS
Cao, Wei-Ming ; Guo, Benqi ;
Journal of the Korean Mathematical Society, volume 41, issue 2, 2004, Pages 345~368
DOI : 10.4134/JKMS.2004.41.2.345
Abstract
A preconditioning algorithm is developed in this paper for the iterative solution of the linear system of equations resulting from the p-version boundary element approximation of the three dimensional integral equation with hypersingular operators. The preconditioner is derived by first making the nodal and side basis functions locally orthogonal to the element internal bases, and then by decoupling the nodal and side bases from the internal bases. Its implementation consists of solving a global problem on the wire-basket and a series of local problems defined on a single element. Moreover, the condition number of the preconditioned system is shown to be of order
. This technique can be applied to discretization with triangular elements and with general basis functions.
8
ON GENERALIZED FINSLER STRUCTURES WITH A VANISHING hυ-TORSION
Ichijyo, Yoshihiro ; Lee, Il-Yong ; Park, Hong-Suh ;
Journal of the Korean Mathematical Society, volume 41, issue 2, 2004, Pages 369~378
DOI : 10.4134/JKMS.2004.41.2.369
Abstract
A canonical Finsler connection Nr is defined by a generalized Finsler structure called a (G, N)-structure, where G is a generalized Finsler metric and N is a nonlinear connection given in a differentiable manifold, respectively. If NT is linear, then the(G, N)-structure has a linearity in a sense and is called Berwaldian. In the present paper, we discuss what it means that NT is with a vanishing hv-torsion:
and introduce the notion of a stronger type for linearity of a (G, N)-structure. For important examples, we finally investigate the cases of a Finsler manifold and a Rizza manifold.
9
CLASSIFICATIONS OF ROTATION SURFACES IN PSEUDO-EUCLIDEAN SPACE
Kim, Young-Ho ; Yoon, Dae-Won ;
Journal of the Korean Mathematical Society, volume 41, issue 2, 2004, Pages 379~396
DOI : 10.4134/JKMS.2004.41.2.379
Abstract
In this article, we study rotation surfaces in the 4-dimensional pseudo-Euclidean space E
. Also, we obtain the complete classification theorems for the flat rotation surfaces with finite type Gauss map, pointwise 1-type Gauss map and an equation in terms of the mean curvature vector. In fact, we characterize the flat rotation surfaces of finite type immersion with the Gauss map and the mean curvature vector field, namely the Gauss map of finite type, pointwise 1-type Gauss map and some algebraic equations in terms of the Gauss map and the mean curvature vector field related to the Laplacian of the surfaces with respect to the induced metric.
10
RANK AND PERIMETER PRESERVERS OF BOOLEAN RANK-1 MATRICES
Song, Seok-Zun ; Beasley, Leroy-B. ; Cheon, Gi-Sang ; Jun, Young-Bae ;
Journal of the Korean Mathematical Society, volume 41, issue 2, 2004, Pages 397~406
DOI : 10.4134/JKMS.2004.41.2.397
Abstract
For a Boolean rank-l matrix
, we define the perimeter of A as the number of nonzero entries in both a and b. We characterize the Boolean linear operators that preserve rank and perimeter of Boolean rank-l matrices.