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具无限时滞的泛函微分方程的渐近稳定性
引用本文:王克.具无限时滞的泛函微分方程的渐近稳定性[J].东北师大学报(自然科学版),1992(2):1-8.
作者姓名:王克
作者单位:东北师大数学系
摘    要:

关 键 词:无限时滞  泛函微分方程  渐近稳定必

THE ASYMPTOTIC STABILITY OF FDE WITH INFINITE DELAY
Wang Ke.THE ASYMPTOTIC STABILITY OF FDE WITH INFINITE DELAY[J].Journal of Northeast Normal University (Natural Science Edition),1992(2):1-8.
Authors:Wang Ke
Abstract:In order to deal with the asymptotic stability of solutions of FDE with infinite delay, T.A.Burton and Huang Qichang introduced the concept of uniformly forgetful functional which is very useful and powerful for the study of this aspect.In this paper we showed that the property of fading memory of phase spase can play the simiilar role as uniformly forgetful functional does.
Keywords:Functional differential dquations with infinite delay  asymptotic stability  ufiformly forgetful  phase spase  fading memory
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