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

作者：Yan Zuomao; Pu Zhaonian

来源：Results in Mathematics, 2009, 55(3-4): 493-505.

DOI：10.1007/s00025-009-0401-1

• Functional nonlinear integrodifferential equations
• fixed point
• nonlocal condition
• resolvent operators

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.

• 出版日期2009-11
• 单位河西学院