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Existence of periodic solutions for abstract neutral non-autonomous equations with infinite delay
Authors:Xianlong Fu  Xingbo Liu
Affiliation:a Department of Mathematics, East China Normal University, Shanghai 200062, PR China
b Mathematisches Institut, Universitaet Tuebingen, D-72076 Tuebingen, Germany
Abstract:
In this paper, by using Sadovskii fixed point theorem, we study the existence of solutions and periodic solutions for a class of abstract neutral functional evolution equations with infinite delay. An example is presented in the end to show the applications of the obtained results.
Keywords:Abstract neutral functional evolution equations   Infinite delay   Linear evolution operator   Measure of non-compactness   Sadovskii fixed point theorem
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