Stability results for impulsive functional differential equations with infinite delays
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摘要
This paper studies the stability problems for a class of impulsive functional differential equations with infinite delays of the formx′(t)=F(t,x(·)),t>t∗,x(tk)=Jk(x(tk−)),k=1,2,….By using the Liapunov functions and Razumikhin technique, some new Razumikhin-type theorems on stability are obtained.
论文关键词:34D20,34K20,Stability,Impulsive differential equation,Razumikhin technique
论文评审过程:Received 7 June 1999, Revised 17 January 2000, Available online 29 May 2001.
论文官网地址:https://doi.org/10.1016/S0377-0427(00)00323-X