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The purpose of this part is to study the delay differential systems in Banach space using the method of fixed point theorem.

一方面在非时滞的情况下通过构造比较函数,利用Brouwer不动点定理得到非时滞微分方程正周期解的存在唯一性,及周期解全局吸引的充分条件。

In the paper, the stability of the static states of the system was discussed theoretically and the control parameter was determined nearby the point of Neimark-Sacker bifurcation.

首先利用理论分析了一个二维离散超混沌系统的不动点的稳定性,以此得到系统发生Neimark-Sacker分岔时参数α的近似值。

This paper is concerned with the existence of positive solution for singular m-point boundary value problems with p-Laplacian operator by using a fixed point theorem on cone.

运用锥拉伸压缩不动点定理,讨论了一类具有p-Laplacian算子m-点奇异边值问题的正解的存在性,推广和包含了一些已知的结果。

In chapter 3, by Brouwer's fixed point theorem, we prove existence of the equilibrium point for high-order Cohen-Grossberg neural networks with delay, and investigate global stability of the equilibrium point by Lyapunov method.

第三章主要通过Brouwer's不动点定理证明了具延迟的高阶Cohen-Grossberg神经网络平衡点的存在性,并且用Lyapunov方法研究了平衡点的全局稳定性。

Using the change of variable and fixed point method andmethod of approximation, we obtain some interesting and new results on the existenceand uniqueness of bounded solutions and almost periodic solutions of these equations.

利用变量替换和不动点方法及逼近法,我们得到了此类方程有界解和概周期解的存在性及唯一性的一些有趣的新结果。

If a n-dimensional unoriented cobordism class α_n containing a representative that admits a (Z_2)~k-action with fixed point set of constant codimension r,we may say that α∈is an ideal of the unoricnted cobordism ring MO_*=.

若n维未定向协边类α_n的一个代表元M~n上有不动点集为常余维数r的(Z_2)~k光滑作用,则记α_n∈J_~r.J_~=∑_n≥r_J_(n,k~r是未定向上协边环MO_+=∑_(n≥0)MO_n的理想。

Under the conditions of compatibility or sub-compatibility between a set-valued mapping and a single-valued mapping, the existence of cotnnlon fixed points for two set-valued mapping and a single-valued mapping in complete metric space is discussed.

在集值映象与单值映象相容或次相容的条件下,讨论了度量空间中两个集值映象和一个单位映象的公共不动点的存在性,改进和推广了一些相应结果。

Secondly in§3.2 ,firstly we prove a new fixed point theorem on Banach space,and study the Sturm-Liourille boundary value problem with the theorem and some properities of concave function, then the existence of three positive solutions is gotten.

第二节,先证明一个新的锥上不动点定理,再利用此定理及凹函数的性质来研究边值问题,得到了三个正解的存在性。

These problems that affect our society, economy and region environment development have become synthetical conditionality factors.

摘 要:煤炭作为一种不可再生资源,长期的开发话动已经引起了与我国国民经济可持续发展不协调的诸多环境问题,并且这些问题也已成为影响我国社会、经济和区域环境发展的综合性制约因素。

In chapter one, by using a competely continuous operator on cone and the Krasnoselskii fixed point theorem, we study the existence of positive periodic solutions of differential equations with impulses and delays, and some sufficient conditions will be given.

第一章讨论了一类具脉冲时滞微分方程周期正解的存在性,通过建立锥上的全连续算子,利用Krasnoselskii不动点定理,得到了存在周期正解的若干充分条件。

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本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

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