Nonlocal Cauchy problem for analytic resolvent integrodifferential equations in Banach spaces

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摘要

In this paper, we prove the existence of semi classical and mild solutions of nonlinear integrodifferential equations with nonlocal conditions in Banach spaces. The results are obtained by using the theory of analytic resolvents and Schaefer’s fixed point theorem.

论文关键词:Existence theorem,Integrodifferential equations,Fixed point theorem,Nonlocal condition

论文评审过程:Available online 1 July 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.06.050