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In chapter three, the new concepts of the bifurcation point and asymptotic bifurcation point of compact continuous operators in Menger PN-spaces are introduced. Some sufficient conditions for the existence of the bifurcation point and asymptotic bifurcation point are obtained. And the problems on the intrinsic value and intrinsic element of compact continuous operators are studied in Menger PN-spaces. A series of theorems on the existence of the intrinsic value and intrinsic element are obtained.

第三章，在概率赋范线性空间中提出非线性算子的歧点和渐近歧点的新概念，获得了非线性算子存在歧点和渐近歧点的充分条件；讨论了Menger概率赋范线性空间中非线性算子的固有值和固有元问题，得到了非线性算子存在固有值和固有元的一系列充分条件。

Some sufficient conditions for asymptotic stability of the network's equilibria are presented.

研究网络的渐近稳定性是研究联想记忆及其它应用的关键。

At the same time,the other necessary and sufficient condition is obtained for causality and asymptotic stability of the systems.

目前对于稳定性研究主要采用的是Lyapunov方法，Lyapunov方法在控制系统的研究中起着非常重要的作用，很多的研究学者已将这种方法推广到广义系统中。

Furthermore, a sufficient condition that guarantees the asymptotic stability of the original system was derived.

提出并证明了原系统渐近稳定的充分条件。

It gives a new sufficient condition ensuring global asymptotic stability for cellular neural networks with delay.

给出了时延细胞神经网络全局稳定性的一个新的充分条件。

Sufficient and necessary condition is given for asymptotic stability and exponential stability of one dimension and multi-dimension.

分别给出一维情形和高维情形系统的渐近稳定和指数稳定的充分必要条件。

A sufficient condition is proposed for robust asymptotic stability of the autonomic system in terms of linear matrix inequality.

基于线性矩阵不等式的方法推导了该系统鲁棒渐近稳定的充分条件，并给出了系统状态反馈镇定器和理想滑动模态存在的充分条件。

By constructing suitable Lyapunov functions, we establish sufficient criteria for asymptotic stability of the zero solutions.

利用构造Lyapunov函数的方法，给出了零解的渐近稳定的充分条件。

In this paper,by using the comparison theorems and constructing suitable Lyapunov function, the sufficient conditions are obtained for the permanence and existence of globally asymptotically stable positive periodic solution of the system.

研究了具有反馈控制的n种群非自治周期竞争系统的持续性，利用微分不等式并构造适当的Lyapunov函数得到系统存在惟一、全局吸引的正周期解的充分条

This paper consists of three parts:We first consider the non-autonomous predator-prey system with both Beddirigton-DeAngelis functional response and dispersion. By using comparison theorem of differential equation, we study the permanance of the system. After that, by constructing suitable Lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system.

本文研究三方面的内容：第一部分考虑具有扩散和Beddington—DeAngelis功能反应的捕食-食饵系统，利用微分方程比较原理得到该系统一致持续生存的条件；通过构造适当的Lyapunov函数得到了该系统存在全局渐近稳定概周期解的充分条件。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。