Junfei Cao, Zaitang Huang, Gaston M. N'Guerekata
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.
Submitted November 1, 2017. Published January 30, 2018.
Math Subject Classifications: 34K14, 35K90.
Key Words: Nonautonomous semilinear evolution equation;
asymptotic almost automorphy; compact semigroup.
Show me the PDF file (260 KB), TEX file for this article.
| Junfei Cao Department of Mathematics Guangdong University of Education Guangzhou 510303, China email: jfcaomath@163.com, caojunfei@gdei.edu.cn | |
| Zaitang Huang School of Mathematical Sciences Guangxi Teachers Education University Nanning 530023, China email: zaitanghuang@163.com | |
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Gaston M. N'Guerekata Department of Mathematics Morgan State University Baltimore, MD 21251, USA email: Gaston.N'Guerekata@morgan.edu, nguerekata@aol.com |
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