%0 Journal Article
%T Perturbed functional and neutral functional evolution equations with infinite delay in Frechet spaces
%A Selma Baghli
%A Mouffak Benchohra
%J Electronic Journal of Differential Equations
%D 2008
%I Texas State University
%X 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.
%K Perturbed functional equation
%K neutral evolution equations
%K mild solution
%K fixed-point theory
%K nonlinear alternative
%K Frechet spaces
%K infinite delay
%U http://ejde.math.txstate.edu/Volumes/2008/69/abstr.html