Yong-Kui Chang, Shan Zheng
Abstract:
In this article, we first establish some results on composition of
Stepanov-like weighted pseudo almost automorphic functions so called
class r and class infinity under a uniform continuity condition with
respect to L^p-norm. And then, we study the existence and uniqueness
of weighted pseudo almost automorphic solutions to an abstract partial
neutral functional differential equation with infinite delay with a
Stepanov-like nonlinear term.
Submitted September 20, 2016. Published October 26, 2016.
Math Subject Classifications: 43A60, 34G20, 47D03.
Key Words: Stepanov-like weighted function; functional differential equation;
pseudo almost automorphic function; infinite delay.
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Yong-Kui Chang School of Mathematics and Statistics Xidian University Xi'an 710071, China email: lzchangyk@163.com | |
Shan Zheng Department of Mathematics Lanzhou Jiaotong University Lanzhou 730070, China email: 1318434313@qq.com |
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