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一类中立型泛函微分方程的弱指数渐近稳定性
引用本文:沈根成.一类中立型泛函微分方程的弱指数渐近稳定性[J].东华大学学报(自然科学版),1998(5).
作者姓名:沈根成
作者单位:中国纺织大学基础科学部 上海200051
摘    要:推广了温立志提出的弱指数渐近稳定概念,将之应用于中立型泛函微分方程,得出了一些关于弱指数渐近稳定和指数渐近稳定的判别定理.包含了温立志的结果.

关 键 词:中立型泛函微分方程  一致渐近稳定性  弱指数渐近稳定性

Weak Exponential Asymptotic Stability of a Class of Functional Differential Equations of Neutral Type
Shen Gengcheng.Weak Exponential Asymptotic Stability of a Class of Functional Differential Equations of Neutral Type[J].Journal of Donghua University,1998(5).
Authors:Shen Gengcheng
Abstract:The conception of weak exponential asymptotic stability which was first put forward by Wen Lizhi is generalize and is applied to functional differential equations of neutral type. Some sufficient criteria on weak exponential asymptotic stability and exponential asymptotic stability are obtained. Wen Lizhi' s results are contained.
Keywords:functional differential equations of neutral type  uniform asymptotic stability  weak exponential asymptotic stability
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