Stability results for impulsive functional differential equations with infinite delays

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.