Existence theorems of global solutions of initial value problems for nonlinear integrodifferential equations of' mixed type in Banach spaces and applications
This paper investigates the existence of global solutions for initial value problems of the nonlinear integrodifferential equations in Banach spaces. We obtain the existence of global solutions by Schauder's fixed-point theorem. Our results are the generalizations and improvements of recent results. As applications of our results, the existence of global solutions of two classes of third-order mixed boundary value problem is obtained, and an example of infinite system for nonlinear integrodifferential equations is worked out to illustrate our main results. (C) 2004 Elsevier Ltd. All rights reserved.
global solutions banach space integrodifferential equations of mixed type schauder fixed-point theorem