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 44 Issue 2

  1. Ko, Bong-Soo;Kang, Seung-Pil 249
    https://doi.org/10.4134/JKMS.2007.44.2.249 PDF KSCI
    By variational methods, we prove the existence of positive solutions of a class of indefinite weight semilinear elliptic boundary value problems on critical Sobolev exponent.
  2. Hong, Woo-Chorl 261
    https://doi.org/10.4134/JKMS.2007.44.2.261 PDF KSCI
    In this paper, we introduce some new properties of a topological space which are respectively generalizations of $Fr\'{e}chet$-Urysohn property. We show that countably AP property is a sufficient condition for a space being countable tightness, sequential, weakly first countable and symmetrizable, to be ACP, $Fr\'{e}chet-Urysohn$, first countable and semimetrizable, respectively. We also prove that countable compactness is a sufficient condition for a countably AP space to be countably $Fr\'{e}chet-Urysohn$. We then show that a countably compact space satisfying one of the properties mentioned here is sequentially compact. And we show that a countably compact and countably AP space is maximal countably compact if and only if it is $Fr\'{e}chet-Urysohn$. We finally obtain a sufficient condition for the ACP closure operator $[{\cdot}]_{ACP}$ to be a Kuratowski topological closure operator and related results.
  3. Li, Weiping;Wang, Shuguang 275
    https://doi.org/10.4134/JKMS.2007.44.2.275 PDF KSCI
    We study the self-duality operator on conic 4-manifolds. The self-duality operator can be identified as a regular singular operator in the sense of $Br\"{u}ning$ and Seeley, based on which we construct its parametrizations and closed extensions. We also compute the indexes.
  4. Jun, Yuan;Huawei, Zhu;Gangsong, Leng 297
    https://doi.org/10.4134/JKMS.2007.44.2.297 PDF KSCI
    In this paper, we present a new kind of duality between intersection bodies and projection bodies. Furthermore, we establish some counterparts of dual Brunn-Minkowski inequalities for intersection bodies.
  5. Ki, U-Hang;Perez Juan De Dios;Santos Florentino G.;Suh Young-Jin 307
    https://doi.org/10.4134/JKMS.2007.44.2.307 PDF KSCI
    We know that there are no real hypersurfaces with parallel Ricci tensor or parallel structure Jacobi operator in a nonflat complex space form (See [4], [6], [10] and [11]). In this paper we investigate real hypersurfaces M in a nonflat complex space form $M_n(c)$ under the condition that ${\nabla}_{\varepsilon}S=0\;and\;{\nabla}_{\varepsilon}R_{\varepsilon}=0,\;where\;S\;and\;R_{\varepsilon}$ respectively denote the Ricci tensor and the structure Jacobi operator of M in $M_n(c)$.
  6. Song, Xinyu;Guo, Hongjian 327
    https://doi.org/10.4134/JKMS.2007.44.2.327 PDF KSCI
    In this paper, a kind of pest-predator model with impulsive effect and infinite delay is considered by the method of chain transform. By using Floquet's theorem, it is shown that there exists a globally asymptotically stable periodic pest eradication solution when the impulsive period is less than or equal to some critical value which is a directly proportional function with respect to the population of release. Furthermore, it is proved that the system is permanent if the impulsive period is larger than some critical value. Finally, the results of the corresponding systems are compared, those results obtained in this paper are confirmed by numerical simulation.
  7. Kim, Chang-Heon;Koo, Ja-Kyung 343
    https://doi.org/10.4134/JKMS.2007.44.2.343 PDF KSCI
    We find the super-replication formulae which would be a generalization of replication formulae. And we apply the formulae to derive periodically vanishing property in the Fourier coefficients of the Hauptmodul $\aleph(j_{1,N})$ as a super-replicable function.
  8. Kim, Hyang-Sook;Kim, Young-Mi;Kwon, Jung-Hwan;Pak, Jin-Suk 373
    https://doi.org/10.4134/JKMS.2007.44.2.373 PDF KSCI
    We study an (n+3)($n\;{\geq}\;7-dimensional$ real submanifold of a (4m+3)-unit sphere $S^{4m+3}$ with Sasakian 3-structure induced from the canonical quaternionic $K\"{a}hler$ structure of quaternionic (m+1)-number space $Q^{m+1}$, and especially determine contact three CR-submanifolds with (p-1) contact three CR-dimension under the equality conditions given in (4.1), where p = 4m - n denotes the codimension of the submanifold. Also we provide necessary conditions concerning sectional curvature in order that a compact contact three CR-submanifold of (p-1) contact three CR-dimension in $S^{4m+3}$ is the model space $S^{4n_1+3}(r_1){\times}S^{4n_2+3}(r_2)$ for some portion $(n_1,\;n_2)$ of (n-3)/4 and some $r_1,\;r_2$ with $r^{2}_{1}+r^{2}_{2}=1$.
  9. Kim, Hoon-Joo;Park, Se-Hie 393
    https://doi.org/10.4134/JKMS.2007.44.2.393 PDF KSCI
    In the framework of generalized convex spaces, we show that generalized KKM maps can be regarded as ordinary KKM maps, and obtain some applications to equilibrium result, maximal element theorems, and almost fixed point theorems on multimaps of the Zima type.
  10. Chen, Bang-Yen;Lue, Huei-Shyong 407
    https://doi.org/10.4134/JKMS.2007.44.2.407 PDF KSCI
    The study of Euclidean submanifolds with finite type "classical" Gauss map was initiated by B.-Y. Chen and P. Piccinni in [11]. On the other hand, it was believed that for spherical sub manifolds the concept of spherical Gauss map is more relevant than the classical one (see [20]). Thus the purpose of this article is to initiate the study of spherical submanifolds with finite type spherical Gauss map. We obtain several fundamental results in this respect. In particular, spherical submanifolds with 1-type spherical Gauss map are classified. From which we conclude that all isoparametric hypersurfaces of $S^{n+1}$ have 1-type spherical Gauss map. Among others, we also prove that Veronese surface and equilateral minimal torus are the only minimal spherical surfaces with 2-type spherical Gauss map.
  11. Hwang, Jin-Soo;Nakagiri, Shin-Ichi 443
    https://doi.org/10.4134/JKMS.2007.44.2.443 PDF KSCI
    We study the equation of a membrane with strong viscosity. Based on the variational formulation corresponding to the suitable function space setting, we have proved the fundamental results on existence, uniqueness and continuous dependence on data of weak solutions.
  12. Ki, Ha-Seo;Kim, Young-One 455
    https://doi.org/10.4134/JKMS.2007.44.2.455 PDF KSCI
    The zero-distribution of the Fourier integral $${\int}^{\infty}_{-{\infty}}\;Q(u)e^{p(u)+^{izu}du$$, where P is a polynomial with leading term $-u^{2m}(m\;{\geq}\;1)$ and Q an arbitrary polynomial, is described. To this end, an asymptotic formula for the integral is established by applying the saddle point method.
  13. Sung Soo-Hak;Cabrera Manuel Ordonez;Hu Tien-Chung 467
    https://doi.org/10.4134/JKMS.2007.44.2.467 PDF KSCI
    A complete convergence theorem for arrays of rowwise independent random variables was proved by Sung, Volodin, and Hu [14]. In this paper, we extend this theorem to the Banach space without any geometric assumptions on the underlying Banach space. Our theorem also improves some known results from the literature.
  14. Im, Man-Kyu;Jefferies, Brian 477
    https://doi.org/10.4134/JKMS.2007.44.2.477 PDF KSCI
    This paper is the first in a series in which we consider bilinear integration with respect to measure-valued measure. We use the integration techniques to establish generalized Egorov theorem and Vitali theorem.
  15. Cheon, Gi-Sang;El-Mikkawy Moawwad E.A. 487
    https://doi.org/10.4134/JKMS.2007.44.2.487 PDF KSCI
    In this paper, we obtain important combinatorial identities of generalized harmonic numbers using symmetric polynomials. We also obtain the matrix representation for the generalized harmonic numbers whose inverse matrix can be computed recursively.