권호 표지

Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society

  • Bimonthly
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)

Aim & Scope

This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).

http://jkms.kms.or.kr/submission KSCI KCI SCOPUS SCI SCIE

Volume 50 Issue 1

  1. Akhiat, Fettah;Ezzaki, Fatima 1
    https://doi.org/10.4134/JKMS.2013.50.1.001 PDF KSCI
    Existence of pramarts selectors for multivalued pramart whose values are convex weakly compact subsets of a separable Banach space E (resp. subsets of a dual space $E^*$) are established. Representation theorems for multivalued pramarts are also presented.
  2. Kahng, Byungik 17
    https://doi.org/10.4134/JKMS.2013.50.1.017 PDF KSCI
    The study of nonlinear discrete-time control dynamical systems with disturbance is an important topic in control theory. In this paper, we concentrate our efforts to multiple valued iterative dynamical systems, which model the nonlinear discrete-time control dynamical systems with disturbance. After establishing the validity of such modeling, we study the invariant set theory of the multiple valued iterative dynamical systems, including the controllability/reachablity problems of the maximal invariant sets.
  3. Ni, Jinbo;Xu, Feng;Gao, Juan 41
    https://doi.org/10.4134/JKMS.2013.50.1.041 PDF KSCI
    In this paper, we investigate the existence and controllability results for a class of abstract stochastic evolution differential inclusions with nonlocal conditions where the linear part is nondensely defined and satisfies the Hille-Yosida condition. The results are obtained by using integrated semigroup theory and a fixed point theorem for condensing map due to Martelli.
  4. Heo, Jaeseong;Ji, Un Cig;Kim, Young Yi 61
    https://doi.org/10.4134/JKMS.2013.50.1.061 PDF KSCI
    In this paper, we study ${\alpha}$-completely positive maps between locally $C^*$-algebras. As a generalization of a completely positive map, an ${\alpha}$-completely positive map produces a Krein space with indefinite metric, which is useful for the study of massless or gauge fields. We construct a KSGNS type representation associated to an ${\alpha}$-completely positive map of a locally $C^*$-algebra on a Krein locally $C^*$-module. Using this construction, we establish the Radon-Nikod$\acute{y}$m type theorem for ${\alpha}$-completely positive maps on locally $C^*$-algebras. As an application, we study an extremal problem in the partially ordered cone of ${\alpha}$-completely positive maps on a locally $C^*$-algebra.
  5. Jeon, Youngmok;Lee, Hyung-Chun 81
    https://doi.org/10.4134/JKMS.2013.50.1.081 PDF KSCI
    We consider a distributed optimal flux control problem: finding the potential of which gradient approximates the target vector field under an elliptic constraint. Introducing the Lagrange multiplier and a change of variables the Euler-Lagrange equation turns into a coupled equation of an elliptic equation and a reaction diffusion equation. The change of variables reduces iteration steps dramatically when the Gauss-Seidel iteration is considered as a solution method. For the elliptic equation solver we consider the Cell Boundary Element (CBE) method, which is the finite element type flux preserving methods.
  6. Bae, Jong-Sook;Cho, Seong-Hoon 95
    https://doi.org/10.4134/JKMS.2013.50.1.095 PDF KSCI
    The aim of this paper is to establish variational principle on cone metric spaces and to give some existence theorems of solutions for equilibrium problems on cone metric spaces. We give some equivalences of an existence theorem of solutions for equilibrium problems on cone metric spaces.
  7. Zou, Wei;Xie, Jie-Hua 111
    https://doi.org/10.4134/JKMS.2013.50.1.111 PDF KSCI
    In this paper, we consider a continuous time risk model involving two types of dependent claims, namely main claims and by-claims. The by-claim is induced by the main claim and the occurrence of by-claim may be delayed depending on associated main claim amount. Using Rouch$\acute{e}$'s theorem, we first derive the closed-form solution for the Laplace transform of the survival probability in the dependent risk model from an integro-differential equations system. Then, using the Laplace transform, we derive a defective renewal equation satisfied by the survival probability. For the exponential claim sizes, we present the explicit formula for the survival probability. We also illustrate the influence of the model parameters in the dependent risk model on the survival probability by numerical examples.
  8. Song, Seok-Zun;Beasley, Leroy B. 127
    https://doi.org/10.4134/JKMS.2013.50.1.127 PDF KSCI
    The term rank of a matrix A is the least number of lines (rows or columns) needed to include all the nonzero entries in A. In this paper, we obtain a characterization of linear transformations that preserve term ranks of matrices over antinegative semirings. That is, we show that a linear transformation T from a matrix space into another matrix space over antinegative semirings preserves term rank if and only if T preserves any two term ranks $k$ and $l$.
  9. Izuchi, Kei Ji;Izuchi, Kou Hei 137
    https://doi.org/10.4134/JKMS.2013.50.1.137 PDF KSCI
    It is studied the linear combinations of composition operators on the Banach space of bounded harmonic functions on the open unit disk. We determine the essential norm of them.
  10. Erfanian, Ahmad;Rezaei, Rashid;Tolue, Behnaz 161
    https://doi.org/10.4134/JKMS.2013.50.1.161 PDF KSCI
    Given an integer $n{\geq}1$ and a compact group G, we find some restrictions for the probability that two randomly picked elements $x^n$ and $y$ of G commute. In the case $n=1$ this notion was investigated by W. H. Gustafson in 1973 and its influence on the structure of the group has been studied in the researches of several authors in last years.
  11. Ha, Junhong;Nakagiri, Shin-Ichi 173
    https://doi.org/10.4134/JKMS.2013.50.1.173 PDF KSCI
    This paper studies the properties of solutions of the Riccati equation arising from the quadratic optimal control problem of the general damped second order system. Using the semigroup theory, we establish the weak differential characterization of the Riccati equation for a general class of the second order distributed systems with arbitrary damping terms.
  12. Kwon, Ern Gun;Cho, Hong Rae;Koo, Hyungwoon 189
    https://doi.org/10.4134/JKMS.2013.50.1.189 PDF KSCI
    On the unit ball of $\mathbb{C}^n$, the space of those holomorphic functions satisfying the mean Lipschitz condition $${\int}_0^1\;{\omega}_p(t,f)^q\frac{dt}{t^1+{\alpha}q}\;<\;{\infty}$$ is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where ${\omega}_p(t,f)$ denotes the $L^p$ modulus of continuity defined in terms of the unitary transformations of $\mathbb{C}^n$.
  13. Gao, Zenghui 203
    https://doi.org/10.4134/JKMS.2013.50.1.203 PDF KSCI
    Let R be a ring. A right R-module M is called GI-flat if $Tor^R_1(M,G)=0$ for every Gorenstein injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and copure flat modules. Suppose R is an $n$-FC ring, we prove that a finitely presented right R-module M is GI-flat if and only if M is a cokernel of a Gorenstein flat preenvelope K ${\rightarrow}$ F of a right R-module K with F flat. Then we study GI-flat dimensions of modules and rings. Various results in [6] are developed, some new characterizations of von Neumann regular rings are given.
  14. Zhao, Wei;Wang, Fanggui;Tang, Gaohua 219
    https://doi.org/10.4134/JKMS.2013.50.1.219 PDF KSCI
    Let R be a commutative ring with $1{\neq}0$ and let $\mathcal{H}$ = {R|R is a commutative ring and Nil(R) is a divided prime ideal}. If $R{\in}\mathcal{H}$, then R is called a ${\phi}$-ring. In this paper, we introduce the concepts of ${\phi}$-torsion modules, ${\phi}$-flat modules, and ${\phi}$-von Neumann regular rings.