Evolution equations in Fréchet spaces

Year 2018, , 33 - 38, 27.05.2018

Said Abbas Amaria Arara Mouffak Benchohra , Fatima Mesri

https://doi.org/10.33187/jmsm.419917

Abstract

This paper deals with the existence of mild solutions for a class of evolution equations. The technique used is a generalization of the classical Darbo fixed point theorem for Fr\'{e}chet spaces associated with the concept of measure of noncompactness.

Keywords

Densely defined operator, evolution system, fixed point, evolution equation, mild solution

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