Abstract
In this paper, a nonlinear impulsive neutral integro-differential equation with time-varying delays is considered. By establishing a singular impulsive delay integro-differential inequality and transforming the n -dimensional impulsive neutral integro-differential equation to a 2 n -dimensional singular impulsive delay integro-differential equation, some sufficient conditions ensuring the global exponential stability in P C 1 of the zero solution of an impulsive neutral integro-differential equation are obtained. The results extend and improve the earlier publications. An example is also discussed to illustrate the efficiency of the obtained results.
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