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.