Measure of noncompactness and semilinear differential equations in Fréchet spaces

A. Arara, M. Benchohra, F. Mesri

This paper deals with the existence of mild and integral solutions for a class of functional differential equations. The technique used is a generalization of the classical Darbo fixed point theorem for Fréchet spaces associated with the concept of measure of noncompactness. 

Tbilisi Mathematical Journal, Vol. 12(1) (2019), pp. 69-81