Existence of asymptotically almost automorphic mild solutions for nonautonomous semilinear evolution equations
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Date
2018-01-30
Authors
Cao, Junfei
Huang, Zaitang
N'Guerekata, Gaston
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Nonautonomous semilinear evolution equation, Asymptotic almost automorphy, Compact semigroup
Citation
Cao, J., Huang, Z., & N'Guerekata, G. M. (2018). Existence of asymptotically almost automorphic mild solutions for nonautonomous semilinear evolution equations. <i>Electronic Journal of Differential Equations, 2018</i>(37), pp. 1-16.
Rights
Attribution 4.0 International