Global solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces

摘要

In this paper, the global solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces are investigated. The existence-and uniqueness of solutions and their iterative approximation are obtained by using Monch fixed point theorem and new comparison results. The results presented here essentially improve, generalize and unify many well-known results. (c) 2006 Elsevier Inc. All rights reserved.