On Solution of a Nonlinear Functional Integrodifferential Equations with Nonlocal Conditions in Banach Spaces

摘要

In paper is concerned with a class of first-order nonlinear functional integrodifferential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence of mild solutions are obtained by using the theory of resolvent operators, Banach’s contraction principle and Schaefer’s fixed point theorem. As an application, we also consider a partial functional integrodifferential equation.