Some uniqueness results for functional damped semilinear differential equations in Fréchet spaces
type: Item
instance of: scholarly article
title: Some uniqueness results for functional damped semilinear differential equations in Fréchet spaces
zbMATH Open document ID: 1156.34064
author: Abdelghani Ouahab
publication date: 2008-06-11T00:00:00Z
review text: The author provides uniqueness results of mild solutions for some classes of first and second order semilinear damped functional and neutral functional differential equations in Fréchet spaces. The proofs are based upon the semigroup theory and a nonlinear alternative of Leray-Schauder type for contraction maps in Fréchet spaces due to Frigon and Granas.
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 5286521
zbMATH Keywords: differential equations
zbMATH Keywords: semigroup
zbMATH Keywords: mild solution
zbMATH Keywords: fixed point
zbMATH Keywords: uniqueness
zbMATH Keywords: contraction
zbMATH Keywords: Fréchet space
reviewed by: Mouffak Benchohra
MaRDI profile type: Publication
full work available at URL: s10114-007-0999-4
OpenAlex ID: W2406197845
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DOI: 10.1007/S10114-007-0999-4
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 5286521