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Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces

Publish Year: 1398
Type: Journal paper
Language: English
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JR_JMMO-7-3_004

Index date: 8 June 2024

Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces abstract

In this article, we shall establish  sufficient conditions for the existence of mild solutions for second order semilinear integro-differential evolution equations in Fre'chet spaces C(\mathbb{R}_+ , E), where E is an Banach space. Our approach is based on the concept of a measure of noncompactness and Tykhonoff fixed point theorem. For illustration we give an example.

Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces Keywords:

Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces authors

Adel Jawahdou

Department of Mathematics, Bizerte Preparatory Engineering Institute, Tunisia