Affiliation:
1. College of Mathematics Science Inner Mongolia Normal University Hohhot P. R. CHINA
2. School of Mathematical Sciences Shanghai Key Laboratory of PMMP East China Normal University Shanghai P. R. CHINA
Abstract
Abstract
In this work, making use of the theory of resolvent operators and Banach fixed point theorem, we first discuss the existence and regularity of mild solutions for neutral partial functional integro-differential equations with infinite delay. We assume that the linear part of the considered equation generates a resolvent operator and the nonlinear function satisfies Lipschitz conditions. Then we investigate the asymptotic periodicity of mild solutions under asymptotic periodic assumption on the nonlinear function. The obtained results extend somewhat the related conclusions in literature. In the end, an example is presented to illustrate the obtained results.
Cited by
2 articles.
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