Convergence in asymptotically autonomous functional differential equations
type: Item
instance of: scholarly article
title: Convergence in asymptotically autonomous functional differential equations
zbMATH Open document ID: 0936.34064
author: Mihály Pituk
author: Ovide Arino
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-12-05T00:00:00Z
review text: The authors consider linear and nonlinear perturbations of a linear autonomous functional-differential equation which has infinitely many equilibria. They give sufficient conditions under which the solutions to the perturbed equation tend to the equilibria to the unperturbed equation at infinity. As a consequence, they obtain sufficient conditions for systems of delay differential equations to have an asymptotic equilibrium.
reviewed by: Marcos Lizana
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 1348155
zbMATH Keywords: functional-differential equations
zbMATH Keywords: asymptotic equilibrium
zbMATH Keywords: uniform stability
zbMATH Keywords: perturbed equation
zbMATH Keywords: convergence
zbMATH Keywords: asymptotic constancy
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6489
OpenAlex ID: W1979518500
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DOI: 10.1006/JMAA.1999.6489
description: scientific article; zbMATH DE number 1348155