Exponential Asymptotic Stability of Neutral Integro-Differential Equations with Infinite Delays

This paper deals with the exponential asymptotic stability of neutral integro-differential equations with infinite delays, and some criteria are given for the exponential asymptotic stability by using the method of variation of paramefers. The results obtained here are illustrated by a example which has been particularly difficult to treat by means of the standard Lyapunov theory.