Existence of asymptotically almost automorphic mild solutions for nonautonomous semilinear evolution equations

In this article, we study the existence of asymptotically almost automorphic mild solutions for a class of nonautonomous semilinear evolution equations and extend some related results in this direction. The working tools are based on the Krasnoselskii's fixed point theorem and compactness crite...

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Veröffentlicht in:Electronic journal of differential equations 2018-01, Vol.2018 (37), p.1-16
Hauptverfasser: Junfei Cao, Zaitang Huang, Gaston M. N'Guerekata
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Sprache:eng
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Zusammenfassung:In this article, we study the existence of asymptotically almost automorphic mild solutions for a class of nonautonomous semilinear evolution equations and extend some related results in this direction. The working tools are based on the Krasnoselskii's fixed point theorem and compactness criterion. Finally, an example is presented to illustrate the main findings.
ISSN:1072-6691