Electron. J. Diff. Equ., Vol. 2013 (2013), No. 104, pp. 1-14.

Existence of pseudo almost periodic solutions for a class of partial functional differential equations

Hui-Sheng Ding, Wei Long, Gaston M. N'Guerekata

Abstract:
In this paper, we first introduce a new class of pseudo almost periodic type functions and investigate some properties of pseudo almost periodic type functions; and then we discuss the existence of pseudo almost periodic solutions to the class of abstract partial functional differential equations $x'(t)=Ax(t)+f(t,x_t)$ with finite delay in a Banach space X.

Submitted March 28, 2013. Published April 24, 2013.
Math Subject Classifications: 34K14, 45G10.
Key Words: Pseudo almost periodic; abstract functional differential equation; almost periodic

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Hui-Sheng Ding
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang, Jiangxi 330022, China
email: dinghs@mail.ustc.edu.cn
Wei Long
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang, Jiangxi 330022, China
email: hopelw@126.com
Gaston M. N'Guérékata
Department of Mathematics, Morgan State University
1700 E. Cold Spring Lane
Baltimore, MD 21251, USA
email: nguerekata@aol.com, Gaston.N'Guerekata@morgan.edu

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