Linearized stability for a class of neutral functional differential equations with state-dependent delays
type: Item
instance of: scholarly article
title: Linearized stability for a class of neutral functional differential equations with state-dependent delays
zbMATH Open document ID: 1163.34048
author: Ferenc Hartung
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-08-27T00:00:00Z
review text: The author formulates a stability theorem by means of linearization around a trivial solution in the case of autonomous neutral functional differential equations with state-dependent delays. He proves that if the trivial solution of the linearized equation is exponentially stable, then the trivial solution of the nonlinear equation is exponentially stable as well. As an application of the main result, explicit stability conditions are given.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 5316892
zbMATH Keywords: neutral equation
zbMATH Keywords: state-dependent delay
zbMATH Keywords: linearization
zbMATH Keywords: exponential stability
reviewed by: Qiru Wang
describes a project that uses: RADAR5
describes a project that uses: DKLAG6
MaRDI profile type: Publication
full work available at URL: j.na.2007.07.004
OpenAlex ID: W2006359132
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DOI: 10.1016/J.NA.2007.07.004
description: scientific article; zbMATH DE number 5316892