逻辑度量空间

取赋值格为［０，１］，用积分工具引入了公式的真度和相似度的概念，并从而在公式集Ｆ上建立了伪距离，为近似推理提供了一种可能的框架．  

跟踪-微分器的离散形式

本文利用“等时区方法”确定出二阶离散系统最速控制综合函数，井依此构造出离散形式的跟踪一微分器．数值仿真表明，这种跟踪一微分器跟踪输入信号既快速、无超调，又无颤振，且能给出较好的微分信号．  

两两NQD列的收敛性质

本文首先给出两两 ＮＱＤ列的 Ｋｏｌｍｏｇｏｒｏｖ型不等式，进而讨论两两 ＮＱＤ列的收敛性质，获得了与独立情形一样的Ｂａｕｍ和Ｋａｔｚ完全收敛定理，几乎达到独立惰形著名的Ｍａｒｃｉｎｋｉｅｗｉｃｚ强大数定律、三级数定理等结果．  

非线性波方程准确孤立波解的符号计算

该文将机械化数学方法应用于偏微分方程领域，建立了构造一类非线性发展方程孤立波解的一种统一算法，并在计算机数学系统上加以实现，推导出了一批非线性发展方程的精确孤立波解．算法的基本原理是利用非线性发展方程孤立波解的局部性特点，将孤立波表示为双曲正切函数的多项式．从而将非线性发展方程（组）的求解问题转化为非线性代数方程组的求解问题．利用吴文俊消元法在计算机代数系统上求解非线性代数方程组，最终获得非线性发展方程（组）的准确孤立波解.  

Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes

In this paper an anisotropic interpolation theorem is presentedthat can be easily used to check the anisotropy of an element.A kind of quasi-Wilson element is considered for second-orderproblems on narrow quadrilateral meshes for which the usualregularity condition _K/h_K c₀ > 0 is not satisfied, whereh_K is the diameter of the element K and _K is the radius of thelargest inscribed circle in K. Anisotropic error estimates ofthe interpolation error and the consistency error in the energynorm and the L²-norm are given. Furthermore, we give a Poincaréinequality on a trapezoid which improves a result of eniek.  

混合单调算子的不动点定理及其应用

本文利用半序方法研究了两类混合单调算子，在非紧非连续性假设下得到了不动点的存在唯一性，并把所得结果应用于RN上的Hammerstain积分方程.  

THE SINGULARLY PERTURBED PROBLEM FOR COMBUSTION REACTION DIFFUSION

1. IntroductionThe anchor discussed a class of problems for the nonlinear ordinary differential equations(of. [1-3]) and the reaction dimsion equations (of. [4-7]).Now we consider a model of the combustion reaction decision problem as follows:where y is a density of combustion flame, s denotes the rate of diffusion effect for reactionspeed, whiCh is a small positive parameter, t is a position of combustion, functions y - t andy t are the positions of the matter for fuel and chide respectivel…  

具有偏差变元的双曲型微分方程组解的振动性

本文获得了双曲型方程组在齐次Neumann,Dirichlet和Robin边值条件下,所有解振动的充分条件.  

具有时滞和基于比率的三种群捕食系统的持久性与全局渐近稳定性

研究一类具有时滞和基于比率的三种群食物链捕食-被捕食动力学模型.证明了该系统在适当条件下的一致持久性；通过构造Lyapunov泛函，得到了该系统正平衡点全局渐近稳定的充分条件.  

Normal Families and Shared Values

For f a meromorphic function on the plane domain D and a C,let _f(a) = {z D: f(z) = a}. Let F be a family of meromorphicfunctions on D, all of whose zeros are of multiplicity at leastk. If there exist b 0 and h > 0 such that for every f F,_f(0) = _f^(k)(b) and 0 < |f^(k+1)(z)| h whenever z _f(0), thenF is a normal family on D. The case _f(0) = Ø is a celebratedresult of Gu [5]. 1991 Mathematics Subject Classification 30D45,30D35.