访问量:80236

  • Normal Families of Holomorphic Functions Concerning Zero Numbers

    Yang Qi;

    In this paper, we study the normal families related with a Hayman conjecture of higher derivative concerning zero numbers, and get one normal criteria.Our result improve some earlier related result.

    2018年02期 v.34 97-105页 [查看摘要][在线阅读][下载 153K]
  • On the Group of ρ-endotrivial κG-modules

    Huang Wen-lin;

    In this paper, we define a group T_ρ(G) of p-endotrivial κG-modules and a generalized Dade group D_ρ(G) for a finite group G. We prove that T_ρ(G)? T_ρ(H)whenever the subgroup H contains a normalizer of a Sylow p-subgroup of G, in this case, K(G)? K(H). We also prove that the group D_ρ(G) can be embedded into T_ρ(G) as a subgroup.

    2018年02期 v.34 106-116页 [查看摘要][在线阅读][下载 169K]
  • Theorems of Helly's Type for Partially-closed Half-spaces

    Liu Jian-Guo;Guo Qi;

    In this article, under quite weaker conditions, theorems of Helly's type for(not necessarily finite) family of partially closed half-spaces are presented in both analytic and geometric forms. Examples are also provided to show that these conditions cannot be omitted in general.

    2018年02期 v.34 117-124页 [查看摘要][在线阅读][下载 161K]
  • Some Normality Criteria for Families of Meromorphic Functions

    Chen Jun-fan;Cai Xiao-hua;

    Let κ be a positive integer and F be a family of meromorphic functions in a domain D such that for each f ∈ F, all poles of f are of multiplicity at least 2,and all zeros of f are of multiplicity at least κ + 1. Let α and b be two distinct finite complex numbers. If for each f ∈ F, all zeros of f~(κ)-α are of multiplicity at least 2,and for each pair of functions f, g ∈ F, f~(κ)and g~(κ) share b in D, then F is normal in D.

    2018年02期 v.34 125-132页 [查看摘要][在线阅读][下载 158K]
  • Cotorsion Dimension of Weak Crossed Products

    Chen Hua-xi;Liang Jin-rong;

    Let H be a finite-dimensional weak Hopf algebra over a field κ and A an associative algebra, and A#_σH a weak crossed product. In this paper, a spectral sequence for Ext is constructed which yields an estimate for cotorsion dimension of A#_σH in terms of the corresponding data for H and A.

    2018年02期 v.34 133-140页 [查看摘要][在线阅读][下载 158K]
  • Theorems of Helly''s Type for Partially-closed Half-spaces

    Liu Jian-Guo;Guo Qi;

    In this article, under quite weaker conditions, theorems of Helly's type for(not necessarily finite) family of partially closed half-spaces are presented in both analytic and geometric forms. Examples are also provided to show that these conditions cannot be omitted in general.

    2018年02期 117-124页 [查看摘要][在线阅读][下载 161K]
  • Ulam-Hyers Stability of Trigonometric Functional Equation with Involution

    Cheng Li-hua;

    The present work aims to determine the solution of trigonometric functional equation f with involution from group to field by using the properties of involution function, and the solution and Ulam-Hyers stability of the trigonometric functional equation are also discussed. Furthermore, this method generalizes the main theorem and gives the supplement in some reference.

    2018年02期 v.34 141-148页 [查看摘要][在线阅读][下载 142K]
  • On Meromorphic Solutions of Nonlinear Complex Differential Equations

    Su Xian-feng;Zhang Qing-cai;

    Applying the Nevanlinna theory of meromorphic function, we investigate the non-admissible meromorphic solutions of nonlinear complex algebraic differential equation and gain a general result. Meanwhile, we prove that the meromorphic solutions of some types of the systems of nonlinear complex differential equations are non-admissible. Moreover, the form of the systems of equations with admissible solutions is discussed.

    2018年02期 v.34 149-160页 [查看摘要][在线阅读][下载 176K]
  • Hopf Bifurcation of Delayed Predator-prey System with Reserve Area for Prey and in the Presence of Toxicity

    Zhang Zi-zhen;Chu Yu-gui;Zhang Xin;

    A kind of three species delayed predator-prey system with reserve area for prey and in the presence of toxicity is proposed in this paper. Local stability of the coexistence equilibrium of the system and the existence of a Hopf bifurcation is established by choosing the time delay as the bifurcation parameter. Explicit formulas to determine the direction and stability of the Hopf bifurcation are obtained by means of the normal form theory and the center manifold theorem. Finally, we give a numerical example to illustrate the obtained results.

    2018年02期 v.34 161-170页 [查看摘要][在线阅读][下载 448K]
  • Weakly Disk-busting Curves in the Boundary of a Compression Body

    Sun Meng;Liang Liang;

    Let V be a nontrivial compression body which is not simple. An essential simple closed curve J in ?_+V is called weakly disk-busting if ?_+V-J has only one compressing disk up to isotopy. In this paper, we give an upper bound of the diameter of the image of boundaries of essential disks in V under any projection determined by a weakly disk-busting curve. Moreover, we give a sufficient condition for the handle additions to be boundary irreducible.

    2018年02期 v.34 171-176页 [查看摘要][在线阅读][下载 146K]
  • Spanning Pre-disks in a Compression Body

    Liang Liang;Han You-fa;Li Feng-ling;Zhao Lu-ying;

    A properly embedded essential planar surface P(not a disk) in a compression body V is called a spanning pre-disk with respect to J, if one boundary component of P is lying in ?_+V and all other boundary components of P are lying in?_-V and coplanar with J. In this paper, we show that the number of boundary components of spanning pre-disks in a compression body is unbounded. But the number of a maximal collection of spanning pre-disks is bounded.

    2018年02期 v.34 177-183页 [查看摘要][在线阅读][下载 157K]
  • Fekete-Szeg? Problem for a Subclass of Meromorphic Functions Defined by the Dziok-Srivastava Operator

    Guo Dong;Li Zong-tao;Xiong Liang-peng;

    By using the hypergeometric function defined by the Dziok-Srivastava operator, a new subclass of meromorphic function is introdued. We obtain Fekete-Szeg? inequalities for the meromorphic function f(z) for which α-(1 + α{1 +z[_lI_mf(z)]′′/[_lI_mf(z)]′}/z[_lI_mf(z)]′/_lI_mf(z))? φ(z)(α∈ C-{1/2, 1}).

    2018年02期 v.34 184-192页 [查看摘要][在线阅读][下载 169K]
  • Communications in Mathematical Research Aims and Scope

    <正>Communications in Mathematical Research(CMR)is a comprehensive mathematical journal carrying original papers on pure and applied mathematics.It was launched in September,1985.The journal is formerly Northeastern Mathematical Journal(NMJ),and publishes quarterly.The primary purpose is to present the latest achievements in mathematical research and to promote of the journal international academic exchange.The Editorial

    2018年02期 v.34 193页 [查看摘要][在线阅读][下载 950K]
  • Instructions to Contributors

    <正>1.Papers to be published in CMR are required to be written in English.2.Manuscripts submitted to CMR are expected to be clear in exposition,valid in argument,concise in wording,and reliable in data.They should be submitted electronically along with the LaTex format and pdf files.3.A manuscript should begin with the title of the article,the authors name,and the address(including the affiliation,the city,the province and the postcode).The title should

    2018年02期 v.34 193页 [查看摘要][在线阅读][下载 950K]
  • 下载本期数据