关于方程+f+h+g(x)=0的全局稳定性

讨论了较一般的三阶非线性微分方程零解的全局稳定性,给出其全局稳定性的充分准则。     

C半群与无穷时滞抽象泛函微分方程的解

利用Ｃ半群的基本理论，在满足某些基本公理的抽象相空间中，建立了一类具无穷时滞的抽象泛函微分方程Ｃａｕｃｈｙ问题ｍｉｌｄ解的存在唯一性定理，并且进一步讨论了ｍｉｌｄ解的正则性。     

关于不定方程组9x~2－7y~2＝2，32y~2－9z~2＝23

利用不定方程ｘ２－Ｄｙ２＝Ｃ（Ｄ∈Ｎ，Ｃ∈Ｚ－｛０｝）的整数解的结构，给出了不定方程组９ｘ２－７ｙ２＝２，３２ｙ２－９ｚ２＝２３的所有正整数解的一个表达式．由这个表达式，经过初等计算，可得到该不定方程组的正整数解     

一类非线性Schrdinger方程整体解

研究了一类非线性Schr(?)dinger方程初边值问题解的整体存在唯一性及渐近性.     

四峰映射四倍周期分岔度量普适性的重正化群分析

 对四峰映射四倍周期分岔进行重正化群分析,获得了相应的重正化群方程组,并求出其普适函数和度量普适常数的数值解.     

LROTH''''S THEOREM IN DIFFERENTIAL FIELDS

In this paper, we present a constructive proof of Luroth's theorem in differential case. We also give a method to find the inversion maps for general differential rational parametric equations. As a consequence, we prove that a differential rational curve always has a set of proper parametric equations.     

The generalized inverse of singular integral operators on an open arc and its applications

After choosing weight functions suitably, we define a Banach spaceH _ω ^μ (L) and discuss the generalized inverse of singular integral operators on an open arc. Using the generalized inverse, we obtain the solutions for the following singular integral equation

非齐次KdV-Burgers方程的整体解

研究一类非齐次KdV-Burgers方程在半无界域的初边值问题,作一系列一致性先验估计,证明了该问题的整体解的存在性。     

自动控制中的一类优化问题

在解决自动控制的一类优化问题中,广义Euler方程组刻划出所求问题的所有可能的优化解,因为这类问题的优化解通常不是唯一的,而且计算特别费时,所以提出了一种有效的算法,以求得具有最小范数的"最好"优化解。     

SOME INITIAL-OBLIQUE DERIVATIVE BOUNDARY VALUE PROBLEM FOR QUASILINEAR PARABOLIC EQUATIONS WITH UNBOUNDED COEFFICIENTS

1 IntroductionThis paper is concerned with the a priori estimates and the ekistence of solutions of theinitiaLoblique derivative boundary value problem for quasilinear non-divergence parabolic equa-tions as follows:where O is a bounded domain in R"(N > 2) with smooth boundary 0a e C' ', QT =[o,T) x a be the parabolic domain in H" ,, ST = [o,T) x aa is the lateral boundary, andarQT is the parabolic boundary of QT' The repeated indices means summatiOns from 1 to N.In [11, the first bounda…