Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 69, pp. 1-19.

Title: Perturbed functional and neutral functional evolution
       equations with infinite delay in Frechet spaces
  
Authors: Selma Baghli      (Univ. de Sidi Bel-Abbes, Algerie)
         Mouffak Benchohra (Univ. de Sidi Bel-Abbes, Algerie)

Abstract: 
 This article shows sufficient conditions for the existence
 of mild solutions, on the positive half-line, for two classes
 of first-order functional and neutral functional perturbed
 differential evolution equations with infinite delay.
 Our main tools are: the nonlinear alternative proved by Avramescu
 for the sum of contractions and completely continuous maps
 in Frechet spaces, and the semigroup theory.
 
Submitted April 15, 2008. Published May 13, 2008.
Math Subject Classifications: 34G20, 34K40.
Key Words: Perturbed functional equation; neutral evolution equations;  
           mild solution; fixed-point theory; nonlinear alternative; 
	   Frechet spaces; infinite delay.