Initial value problems for nonlinear impulsive integro-differential equations in Banach space ✩

In this paper, by using the cone theory and the monotone iterative technique, we investigate the existence of maximal and minimal solutions of the initial value problem for second order impulsive differential equations which nonlinearly involve the derivative x in Banach space and give an example to illustrate our results. © 2005 Elsevier Inc. All rights reserved