| Volume 6, Number 3, 2016, Pages 628-664 DOI：10.11948/2016043 |
| Existence of $\mu$-pseudo almost automorphic solutions to abstract partial neutral functional differential equations with infinite delay |
| Yong-Kui Chang,G. M. N'Gu\'{e}r\'{e}kata,Rui Zhang |
| Keywords:$\mu$-pseudo almost automorphic functions, $\mu$-Stepanov-like pseudo almost automorphic functions, functional differential equations with infinity, fixed point theorem. |
| Abstract: |
| In this article, we introduce and investigate the concept of $\mu$-Stepanov-like pseudo almost automorphic functions of class $h$ and class infinity via measure theory. We present new results on completeness and composition theorems for the space of such functions. To illustrate our main results, we provide some applications to an abstract partial neutral functional differential equation with infinite delay. |
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