Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 104, pp. 1-14.

Title: Existence of pseudo almost periodic solutions for a class
       of partial functional differential equations
        
Authors: Hui-Sheng Ding (Jiangxi Normal Univ., Nanchang, China)
         Wei Long       (Jiangxi Normal Univ., Nanchang, China)
         Gaston M. N'Guerekata (Morgan State Univ., Baltimore, MD, USA)

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