On the piecewise pseudo almost periodic solution of nondensely impulsive integro-differential systems with infinite delay

Abstract: In the theory of neutral differential equations with pulse influence (neutral impulsive differential equations), there are many unsolved problems related to certain results in the theory of integral and integro-differential equations. In this article, we present an result for the existence of the piecewise pseudo almost periodic solution of a class of neutral impulsive nonlinear integro-differential systems with infinite delay. The method used involves result on the theory of integrated semigroup as well as the Sadovskii's fixed point theorem.