Existence of µ-pseudo almost automorphic solutions to a nonautonomous semilinear evolution equation by interpolation theory
Y. Wang, X. Luo
Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China
Received on October 28, 2013, Revised version: April 18, 2014
Accepted on December 5, 2013, Final version: April 22, 2014
Communicated by Gaston M. N'Guérékata
| Abstract. In this paper, we deal with µ-pseudo almost automorphic solutions to the nonautonomous semilinear evolution equation. We obtain our main results by interpolation theory and fixed point methods. | |
| Keywords: | µ-pseudo almost automorphic function, nonautonomous semilinear evolution equation, fixed point.. |
| 2010 Mathematics Subject Classification: 34K14, 60H10, 35B15, 34F05. | |