Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 47, pp. 1-13.

Title: Weighted pseudo-almost periodic solutions for some neutral partial
       functional differential equations

Authors: Mondher Damak  (Univ. de Sfax, Tunisie)
         Khalil Ezzinbi (Univ. Cadi Ayyad, Marrakech, Morocco)
	 Lotfi Souden   (Faculte Des Sciences De Gafsa, Tunisie)

Abstract:
 In this article we study the existence of weighted pseudo almost periodic 
 solutions of an autonomous neutral functional differential equation
 with Stepanov-Weighted pseudo almost periodic terms in a Banach space.
 We use the contraction mapping principle to show the existence
 and the uniqueness of  weighted pseudo almost periodic solution of 
 the equation.

Submitted November 21, 2011. Published March 23, 2012.
Math Subject Classifications: 34K40, 35B15, 34C27, 34K14.
Key Words: Neutral equation; semigroup; mild solution; 
           Stepanov-weighted pseudo almost periodic functions;
           Banach fixed point theorem.