On the perturbational global attractivity of nonautonomous delay differential equations
type: Item
instance of: scholarly article
title: On the perturbational global attractivity of nonautonomous delay differential equations
zbMATH Open document ID: 0934.34065
DOI: 10.1007/BF02456642
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2000-04-10T00:00:00Z
review text: The perturbed linear delay differential equation \[ x'(t)= -a(t)x(t-\tau)+ F(t,x_t) \] is considered. Different from most related work in the literature where \(a\) was regarded as a constant, the authors deal with the case, where \(a(t)\) is a continuous function. Several sufficient conditions are obtained for the zero solution to the equation to be globally attractive. These conditions extend and improve many known results for the constant coefficient case, and are ``sharp'' in some sense. It is pointed out that the method used can be applied to perturbed nonlinear equations of the form \[ x'(t)= G(t,x(t-\tau))+ F(t, x_t). \]
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K26
zbMATH DE Number: 1322275
zbMATH Keywords: perturbational global attractivity
zbMATH Keywords: nonautonomous
zbMATH Keywords: perturbed linear delay differential equation
zbMATH Keywords: perturbed nonlinear equations
author: Jiaowan Luo
author: Zaiming Liu
reviewed by: Qingkai Kong
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02456642
OpenAlex ID: W368020726
description: scientific article; zbMATH DE number 1322275