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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 42, Issue 6 - Nov 2005
Volume 42, Issue 5 - Sep 2005
Volume 42, Issue 4 - Jul 2005
Volume 42, Issue 3 - May 2005
Volume 42, Issue 2 - Feb 2005
Volume 42, Issue 1 - Jan 2005
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1
A FAST FACTORIZATION ALGORITHM FOR A CONFLUENT CAUCHY MATRIX
KIM KYUNGSUP ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 1~16
DOI : 10.4134/JKMS.2005.42.1.001
Abstract
This paper presents a fast factorization algorithm for confluent Cauchy-like matrices. The algorithm consists of two parts. First. a confluent Cauchy-like matrix is transformed into a Cauchy-like matrix available to pivot without changing its structure. Second. a fast partial pivoting factorization algorithm for the Cauchy-like matrix is presented. A new displacement structure cannot possibly generate all entries of a transformed matrix, which is called by `partially reconstructible`. This paper also discusses how the proposed factorization algorithm can be generally applied to partially reconstructive matrices.ጊ吀Ѐ㘹〻Ԁ䭃䑎䴀
2
NECESSARY CONDITIONS FOR OPTIMAL CONTROL PROBLEM UNDER STATE CONSTRAINTS
KIM KYUNG-EUNG ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 17~35
DOI : 10.4134/JKMS.2005.42.1.017
Abstract
Necessary conditions for a deterministic optimal control problem which involves states constraints are derived in the form of a maximum principle. The conditions are similar to those of F.H. Clarke, R.B. Vinter and G. Pappas who assume that the problem`s data are Lipschitz. On the other hand, our data are not continuously differentiable but only differentiable. Fermat`s rule and Rockafellar`s duality theory of convex analysis are the basic techniques in this paper.
3
UNIFORM DECAY OF SOLUTIONS FOR VISCOELASTIC PROBLEM WITH NONLINEAR BOUNDARY DAMPING AND MEMORY TERM
BAE JEONG JA ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 37~52
DOI : 10.4134/JKMS.2005.42.1.037
Abstract
We consider the existence of solutions of viscoelastic degenerate problem of Kirchhoff type with nonlinear boundary damping and memory term. Moreover, we consider the uniform decay of the energy for the problem.
4
SKEW POLYNOMIAL RINGS OVER σ-QUASI-BAER AND σ-PRINCIPALLY QUASI-BAER RINGS
HAN JUNCHEOL ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 53~63
DOI : 10.4134/JKMS.2005.42.1.053
Abstract
Let R be a ring R and
be an endomorphism of R. R is called
-rigid (resp. reduced) if $a{\sigma}r(a)
5
NORMALIZATION OF THE HAMILTONIAN AND THE ACTION SPECTRUM
OH YONG-GEUN ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 65~83
DOI : 10.4134/JKMS.2005.42.1.065
Abstract
In this paper, we prove that the two well-known natural normalizations of Hamiltonian functions on the symplectic manifold (
) canonically relate the action spectra of different normalized Hamiltonians on arbitrary symplectic manifolds (
). The natural classes of normalized Hamiltonians consist of those whose mean value is zero for the closed manifold, and those which are compactly supported in IntM for the open manifold. We also study the effect of the action spectrum under the
of Hamiltonian diffeomorphism group. This forms a foundational basis for our study of spectral invariants of the Hamiltonian diffeomorphism in [8].
6
ON THE ENTIRE FUNCTION SHARING ONE VALUE CM WITH K-TH DERIVATIVES
CHEN ZONG-XUAN ; SHON KWANG HO ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 85~99
DOI : 10.4134/JKMS.2005.42.1.085
Abstract
In this paper, we investigate some properties of the entire function of the hyper order less than
sharing one value CM with its k-th derivative.
7
REMARKS ON THE KKM PROPERTY FOR OPEN-VALUED MULTIMAPS ON GENERALIZED CONVEX SPACES
KIM HOONJOO ; PARK SEHIE ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 101~110
DOI : 10.4134/JKMS.2005.42.1.101
Abstract
Let (X, D;
) be a G-convex space and Y a Hausdorff space. Then
(X, Y)
KD(X, Y), where
is an admissible class (dup to Park) and KD denotes the class of multimaps having the KKM property for open-valued multimaps. This new result is used to obtain a KKM type theorem, matching theorems, a fixed point theorem, and a coincidence theorem.
8
COMPOSITION OPERATORS ON THE PRIVALOV SPACES OF THE UNIT BALL OF ℂ
^{n}
UEKI SEI-ICHIRO ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 111~127
DOI : 10.4134/JKMS.2005.42.1.111
Abstract
Let B and S be the unit ball and the unit sphere in
, respectively. Let
be the normalized Lebesgue measure on S. Define the Privalov spaces $N^P(B)\;(1\;<\;p\;<\;{\infty})$ by $$N^P(B)\;
9
HOLOMORPHIC EMBEDDINGS OF STEIN SPACES IN INFINITE-DIMENSIONAL PROJECTIVE SPACES
BALLICO E. ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 129~134
DOI : 10.4134/JKMS.2005.42.1.129
Abstract
Lpt X be a reduced Stein space and L a holomorphic line bundle on X. L is spanned by its global sections and the associated holomorphic map
is an embedding. Choose any locally convex vector topology
stronger than the weak-topology. Here we prove that
is sequentially closed in
and arithmetically Cohen -Macaulay. i.e. for all integers
the restriction map
is surjective.
10
ON THE SEQUENCES RELATED TO FIBONACCI AND LUCAS NUMBERS
OZGUR NIHAL YILMAZ ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 135~151
DOI : 10.4134/JKMS.2005.42.1.135
Abstract
In this paper, we obtain some properties of the sequences
introduced in [6]. We find polynomial representations and formulas of them. For q
11
ON FUZZY STOCHASTIC DIFFERENTIAL EQUATIONS
KIM JAI HEUI ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 153~169
DOI : 10.4134/JKMS.2005.42.1.153
Abstract
A fuzzy stochastic differential equation contains a fuzzy valued diffusion term which is defined by stochastic integral of a fuzzy process with respect to 1-dimensional Brownian motion. We prove the existence and uniqueness of the solution for fuzzy stochastic differential equation under suitable Lipschitz condition. To do this we prove and use the maximal inequality for fuzzy stochastic integrals. The results are illustrated by an example.
12
SOME RESULTS ON CONVERGENCE IN DISTRIBUTION FOR FUZZY RANDOM SETS
JOO SANG YEOL ; CHOI GYEONG SUK ; KWON JOONG SUNG ; KIM YUN KYONG ;
Journal of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 171~189
DOI : 10.4134/JKMS.2005.42.1.171
Abstract
In this paper, we first establish some characterization of tightness for a sequence of random elements taking values in the space of normal and upper-semicontinuous fuzzy sets with compact support in
. As a result, we give some sufficient conditions for a sequence of fuzzy random sets to converge in distribution.