数学季刊杂志 省级期刊

Complete Convergence for Weighted Sums of WOD Random Variables

作者：ZHANG; Ying; ZHANG; Yu; SHEN; Ai-ting 刊期：2016年第01期

In this article, we study the complete convergence for weighted sums of widely orthant dependent random variables. By using the exponential probability inequality, we establish a complete convergence result for weighted sums of widely orthant dependent random variables under mild conditions of weights and moments. Th...

Ground State Solutions for Schrdinger-Poisson Systems

作者：XU; Na 刊期：2016年第01期

This paper deals with a class of Schr¨odinger-Poisson systems. Under some conditions, we prove that there exists a ground state solution of the system. The proof is based on the compactness lemma for the system. Our results here improve some existing results in the literature.

Some Results of Biharmonic Maps

作者：FENG; Shu-xiang; PAN; Hong 刊期：2016年第01期

In this paper, we investigate biharmonic maps from a complete Riemannian manifold into a Riemannian manifold with non-positive sectional curvature. We obtain some non-existence results for these maps.

A Remark on Global Existence, Uniqueness and Exponential Stability of Solutions for the 1D Navier-Stokes-Korteweg Equations

作者：ZHANG; Jian-lin; CAO; Jie; SU; Xing 刊期：2016年第01期

In this paper, we investigate non-isothermal one-dimensional model of capillary compressible fluids as derived by M Slemrod（1984） and J E Dunn and J Serrin（1985）. We establish the existence, uniqueness and exponential stability of global solutions in H2×H1× H1 for the one-dimensional Navier-Stokes-Korteweg equati...

Bohr Inequality for Multiple Operators

作者：LIAN; Tie-yan; TANG; Wei 刊期：2016年第01期

An absolute value equation is established for linear combinations of two operators.When the parameters take special values, the parallelogram law of operator type is given. In addition, the operator equation in literature [3] and its equivalent deformation are obtained.Based on the equivalent deformation of the opera...

Vertex Algebra Sheaf Structure on Torus

作者：SUN; Yuan-yuan 刊期：2016年第01期

In this paper, we first give a 1-1 corresponds between torus C/Λ and cubic curve C in P_C~2. As complex manifold, they are isomorphic, therefore we can treat C/Λ as a variety and construction a vertex algebra sheaf on it.

The Asymptotic Limit for the 3D Boussinesq System

作者：LI; Lin-rui; WANG; Ke; HONG; Ming-li 刊期：2016年第01期

In this paper, we show the asymptotic limit for the 3D Boussinesq system with zero viscosity limit or zero diffusivity limit. By the classical energy method, we prove that as viscosity(or diffusivity) coefficient goes to zero the solutions of the fully viscous equations converges to those of zero viscosity(or zero di...

An Efficient Construction of Secure Network Coding

作者：ZHANG; Jing-li; TANG; Ping; MA; Song-ya 刊期：2016年第01期

Analysis of an Implicit Finite Difference Scheme for Time Fractional Diffusion Equation

作者：MA; Yan 刊期：2016年第01期

Time fractional diffusion equation is usually used to describe the problems involving non-Markovian random walks. This kind of equation is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative of order α∈(0, 1). In this paper, an implicit finite diffe...

Two Notes on Topological Groups

作者：ZHANG; Ke-xiu; LIU; Xin; TANG; Zhong-bao 刊期：2016年第01期

In this short paper, we firstly give a short proof of Birkhoff-Kakutani Theorem by Moore metrizable Theorem. Then we prove that G is a topological group if it is a paratopological group which is a dense G_δ-set in a locally feebly compact regular space X.

Mixed Finite Element Formats of any Order Based on Bubble Functions for Stationary Stokes Problem

作者：CAO; Ji-wei; LIU; Ming-fang; CHEN; Shao-chun 刊期：2016年第01期

Mixed element formats of any order based on bubble functions for the stationary Stokes problem are derived in triangular and tetrahedral meshes and the convergence of these formats are proved.

On n-K Width of Certain Function Classes Defined by Linear Operators in L_2 Space

作者：YU; Rui-fang; WU; Ga-ridi 刊期：2016年第01期

Let M（u） be an N-function, Lr（f, x） and Kr（f, x） are Bak operator and Kantorovich operator, WM（Lr（f）） and WM（Kr（f）） are the Sobolev-Orlicz classes defined by Lr（f, x）, Kr（f, x） and M（u）. In this paper we give the asymptotic estimates of the n-K widths dn（WM（Lr（f））, L2[0, 1]） and dn（WM（Kr（...

A Remark on Persistence of Regularity for the Nonlinear Boussinesq System in Dimension Two

作者：SU; Xing; CAO; Jie; ZHANG; Jian-lin 刊期：2016年第01期

This paper investigates the Cauchy problem for the nonlinear Boussinesq system in dimension two, and prove that for any initial data（u0, θ0） in H1+s×H1+s, where s ∈（0, 1）,the persistence of regularity holds.

《数学季刊》征稿简则

刊期：2016年第01期

一、办刊宗旨： 《数学季刊》由著铝数学家陈景润先生于1986年创刊，创刊为中文版，现为英文版。是我因数学界委托河南大学承办，以刊登数学学科中具有创造性、代表学科水平的科研成果为主的综合性学术刊物。