A class of second order impulsive integro-differential equations on unbounded domain in a Banach space

摘要

In this paper, by using the cone theory and monotone iterative technique, we investigate the existence of extremal solutions and unique solution of the initial value problem (IVP) for a class of second order impulsive integro-differential equations on unbounded domain in a Banach space. Our results improve and extend many recent results.