Open Access
January 2019 Measure of noncompactness and semilinear differential equations in Fréchet spaces
Amaria Arara, Mouffak Benchohra, Fatima Mesri
Tbilisi Math. J. 12(1): 69-81 (January 2019). DOI: 10.32513/tbilisi/1553565627

Abstract

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.

Citation

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Amaria Arara. Mouffak Benchohra. Fatima Mesri. "Measure of noncompactness and semilinear differential equations in Fréchet spaces." Tbilisi Math. J. 12 (1) 69 - 81, January 2019. https://doi.org/10.32513/tbilisi/1553565627

Information

Received: 16 October 2018; Accepted: 10 December 2018; Published: January 2019
First available in Project Euclid: 26 March 2019

zbMATH: 07172301
MathSciNet: MR3954220
Digital Object Identifier: 10.32513/tbilisi/1553565627

Subjects:
Primary: 34G20

Keywords: densely defined operator , fixed point , integral solution , mild solution , nondensely defined operator , semigroup theory , semilinear differential equation

Rights: Copyright © 2019 Tbilisi Centre for Mathematical Sciences

Vol.12 • No. 1 • January 2019
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