四阶非线性常微分方程非线性两点边值问题解的存在唯一性

本文利用Ｂｏｌｚａｎｏ定理，给出了四阶非线性常微微分方程具有非线性边界条件的两点边值问题（１）（２）２，（１）（２）３存在解与存在唯一解的一般性结果，并将所得结果应用于Ｌｉｐｓｃｈｉｚ方程，对Ｌｉｐｓｃｈｉｔｚ方程满足边界条件（２）２，（２）３的边值问题给出了存在解与存在唯一解的具体的充分条件。     

On the Glivenko-Cantelli problem in stochastic programming: Mixed-integer linear recourse

Expected recourse functions in linear two-stage stochastic programs with mixed-integer second stage are approximated by estimating the underlying probability distribution via empirical measures. Under mild conditions, almost sure uniform convergence of the empirical means to the original expected recourse function is established.     

Social systems analysis

We present a model of social systems as special types of games in extensive form in which perception and learned strategies play an important role. We discuss personality, emotions, and the relation of utility to Maslow's hierarchy of values. We also formulate a new class of games, partially cooperative games, and attempt to define a solution concept for these.     

兰州及邻近地区野生观赏树木资源研究

报道了兰州及邻近地区野生观赏树木的资源数量、分布及观赏特性，并讨论了野生观赏树木资源保护及开发利用问题。     

第一类Painlevé方程的高阶类似(4P_1)的解析性质

该文研究了第一类Painlevé方程高阶类似(4P_1)的超越亚纯解的解析性质并获得一系列结果     

论美育在教育结构体系中的价值

美育的价值问题一直众说纷纭。由于不能正确把握美育的价值，导致难以真正准确界定美育在教育结构体系中的地位，以致出现美育名重位轻，在现实整个教育体系中没有自己应有的位置，有时甚至处于可有可无的境地。美育的价值应该是工具性价值与未来性价值、社会性价值与人的主体性价值的统一。     

偏执的女性表达——从《大长今》看中国当代女性文学

《大长今》塑造的女性形象反映了一种新“女性价值观”，相比之下，在对待爱情、传统文化、女性自身价值实现方面，中国女性文学的表达有些偏执，而超越这种“偏执”无疑是中国女性文学取得更大突破的必由之路。     

Finite dimensional approximation in infinite dimensional mathematical programming

We consider the problem of approximating an optimal solution to a separable, doubly infinite mathematical program (P) with lower staircase structure by solutions to the programs (P(N)) obtained by truncating after the firstN variables andN constraints of (P). Viewing the surplus vector variable associated with theNth constraint as a state, and assuming that all feasible states are eventually reachable from any feasible state, we show that the efficient set of all solutions optimal to all possible feasible surplus states for (P(N)) converges to the set of optimal solutions to (P). A tie-breaking algorithm which selects a nearest-point efficient solution for (P(N)) is shown (for convex programs) to converge to an optimal solution to (P). A stopping rule is provided for discovering a value ofN sufficiently large to guarantee any prespecified level of accuracy. The theory is illustrated by an application to production planning.The work of Robert L. Smith was partially supported by the National Science Foundation under Grant ECS-8700836.     

关于n阶微分方程边值问题（Ⅲ）——奇摄动的渐近展开

本文研究n阶非线性过值问题(NB)的奇异摄动。在较一般的条件下,应用高阶微分不等式理论证明了摄动解的存在性,并给出了摄动解直到n阶导函数的一致有效渐近展开式,推广和改进了已有的结果。