摘要
为了研究具无限时滞的泛函微分方程的渐近稳定性,T.A.Burton 和黄启昌引入了一致健忘泛函的概念,并大大推进了这个方向的研究工作,本文研究表明,相空间的衰减记忆性质可以起到与 V 泛函一致健忘性质类似的作用.
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.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
1992年第2期1-8,共8页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金
关键词
无限时滞
泛函微分方程
渐近稳定必
Functional differential dquations with infinite delay
asymptotic stability
ufiformly forgetful
phase spase
fading memory
