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  • Complete Convergence for Weighted Sums of WOD Random Variables 免费阅读 下载全文
  • 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. The result obtained in the paper generalizes the corresponding ones for independent random variables and negatively dependent random variables.
  • Ground State Solutions for Schrdinger-Poisson Systems 免费阅读 下载全文
  • 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 免费阅读 下载全文
  • 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 免费阅读 下载全文
  • 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 equations by a priori estimates,which implies the existence and exponential stability of the nonlinear C0-semigroups S(t) on H2× H1× H1.
  • Bohr Inequality for Multiple Operators 免费阅读 下载全文
  • 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 operator equation and using the properties of conjugate number as well as the operator, an absolute value identity of multiple operators is given by means of mathematical induction. As Corollaries, Bohr inequalities are extended to multiple operators and some related inequalities are reduced to, such as inequalities in [2]and [3].
  • Vertex Algebra Sheaf Structure on Torus 免费阅读 下载全文
  • 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 免费阅读 下载全文
  • 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 diffusivity) equations, which extend the previous results on the asymptotic limit under the conditions of the zero parameter(zero viscosity ν = 0 or zero diffusivity η = 0) in 2D case separately.
  • An Efficient Construction of Secure Network Coding 免费阅读 下载全文
  • Under the assumption that the wiretapper can get at most r(r < n) independent messages, Cai et al. showed that any rate n multicast code can be modified to another secure network code with transmitting rate n- r by a properly chosen matrix Q-1. They also gave the construction for searching such an n × n nonsingular matrix Q. In this paper, we find that their method implies an efficient construction of Q. That is to say, Q can be taken as a special block lower triangular matrix with diagonal subblocks being the(n- r) ×(n- r)and r × r identity matrices, respectively. Moreover, complexity analysis is made to show the efficiency of the specific construction.
  • Analysis of an Implicit Finite Difference Scheme for Time Fractional Diffusion Equation 免费阅读 下载全文
  • 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 difference scheme for solving the time fractional diffusion equation with source term is presented and analyzed, where the fractional derivative is described in the Caputo sense. Stability and convergence of this scheme are rigorously established by a Fourier analysis. And using numerical experiments illustrates the accuracy and effectiveness of the scheme mentioned in this paper.
  • Two Notes on Topological Groups 免费阅读 下载全文
  • 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 免费阅读 下载全文
  • 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 免费阅读 下载全文
  • 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(f)), L2[0, 1]).
  • A Remark on Persistence of Regularity for the Nonlinear Boussinesq System in Dimension Two 免费阅读 下载全文
  • 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 免费阅读 下载全文
  • 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。
  • 《数学季刊:英文版》封面

    主办单位:河南大学

    主  编:胡和生 林群

    地  址:河南省开封市明伦街85号河南大学

    邮政编码:475001

    电  话:0378-3881698

    国际标准刊号:issn 1002-0462

    国内统一刊号:cn 41-1102/01

    邮发代号:36-170

    单  价:10.00

    定  价:40.00


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