Existence of Periodic Solutions for Reaction-diffusion Systems with Time Delays

Periodic solutions of reaction-diffusion systems with time delays are investigated. The upper and lower control function of nonmonotone reaction term is constructed. It is showed that the function satisfies a global Lipschitz condition and quasimonotone. A sort of effective method of studying differential equation with nonmonotone reaction term is gained. It is shown that periodic solutions of this system exist when reaction-term is not monotone and the boundary value system has a pair of coupled to-upper and lower solutions.     

Positive Solutions of a Kind of Special Nonlinear Neumann Boundary Value Problems

The purpose of this paper is to consider a kind of special nonlinear Neumann boundary value problems. The kind of boundary value problems has not Green function. Using suitable transformation,we can change these problems to general Neumann boundary value problems. By applying integral equation and degree theory on cone,the existence of n positive solutions is proved for the kind of problems,where n is an arbitrary natural number.     

The existence of limit cycles of some non-linear differential equations

The existence of limit cycles for the nonlinear oscillation equation is discussed, in which some hypothesis is omitted. The results of theorem 1 generalized the corresponding results for\.     

简述《德意志意识形态》对人生存权的考察

马克思在《德意志意识形态》中应用劳动生存论的方法考察了现实的人生存权利的内容、存在方式、存在环境、生存权的基础及其实现生存权的根本条件和道德等问题,文中对此进行了简述。     

一类非共振奇异四阶边值问题

研究一类非共振奇异四阶边值问题,给出正解存在的充分条件,并利用锥不动点定理证明其正解的存在性.     

我国城镇居民休闲消费行为研究——基于扩展线性支出系统(ELES)模型的数量分析

主要研究一类非散度型椭圆偏微分方程正解的存在性.先利用blow-up技巧得到解的先确良验估计,再结合不动点定理给出了正解存在的一个充分必要条件.     

n阶常微分方程三点边值问题解的存在性、唯一性

利用献[1]的献[2]中的“solution-matching”方法探讨了n阶常微分方程三点边值问题解的存在性和唯一性,推广了献[1]和献[2]中的结果。     

具偏差变元的三阶微分方程边值问题

本文利用不动点原理研究了具偏差变元的三阶微分方程边值问题，得到了边值问题的解的存在性与唯一性定理。     

森林系统的存在与演化

第四纪的热带、亚热带、温带、寒带森林,可划分为"单层同龄林分"类型和"复层异龄林分"类型,它们都遵循着由"初始林分"走入"过熟林分"的"优胜劣汰"规则。森林产生的"死亡量"必定小于"净生长量",这种非线性的"物质运动"与热力学过程的"熵"联系起来,则能更深刻地诠释由孢子植物进化为裸子植物,进而进化为被子植物的多样性树种所组成森林的"森林耗散结构"特性。现代的森林包涵着两类林分:一类是由单一树种组成的"单层同龄林分",是不通过"树种演替"就能形成"初始林分"的林分,因而其具有简单的"内部结构"和"内部时间";另一类是由多"种群"组成的"复层异龄林分",其必需通过"树种演替"才能形成"初始林分",因而它具有复杂的"内部结构"和"内部时间"。对云南的森林,已量测到亚热带阔叶林的"过熟林分"。却缺少"先锋种群"演变为"初始林分"的先前事件,因此不可能描述出其"复层异龄林分"的先前概率。由对云南森林的分析得出,两类"林分"虽都遵循"优胜劣汰"规则,但却只能导算出"单层同龄林分"的"株数递减率和蓄积量递增率"的过程。