Existence of solutions for nth order impulsive integro-differential equations in a Banach space

This paper discusses the existence of solutions of initial value problems f or nth order nonlinear impulsive integro-differential equations of mixed ty pe on an infinite interval with infinite number of impulsive times in a Ban ach space. A new space is introduced and the Schauder fixed point theorem i s used. Finally, an example for infinite system of scalar third order impul sive integrodifferential equations is offered.