Evolution equations in Fréchet spaces

Authors : Said ABBAS, Amaria ARARA, Mouffak BENCHOHRA, Fatima MESRİ

Pages : 33-38

Doi:10.33187/jmsm.419917

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Publication Date : 2018-05-27

Article Type : Research Paper

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