Asymptotic stability for equations with unbounded delay
type: Item
instance of: scholarly article
title: Asymptotic stability for equations with unbounded delay
zbMATH Open document ID: 0646.45010
DOI: 10.1016/0022-247X(88)90192-8
author: M. Rama Mohana Rao
author: Seenith Sivasundaram
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The objective of this paper is to investigate sufficient conditions for the asymptotic stability of the zero solution of the integro-differential system with infinite memory of the form \[ x'=A(t)x+\int^{t}_{- \infty}K(t,s)x(s)ds+f(t,x),\quad x\in {\mathbb{R}}^ n,\quad f(t,0)=0, \] in which A is not necessary stable.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 4054282
zbMATH Keywords: unbounded delay
zbMATH Keywords: asymptotic stability
zbMATH Keywords: integro-differential system with infinite memory
MaRDI profile type: Publication
cites work: Equations with unbounded delay: a survey
cites work: Stability in variation for nonlinear integro-differential equations
cites work: The stability of the solutions of a class of integrodifferential systems with infinite delays
cites work: Asymptotic stability properties of linear Volterra integrodifferential equations
cites work: Asymptotic Behavior of Solutions of Volterra Integro-Differential Equations
full work available at URL: 0022-247x(88)90192-8
OpenAlex ID: W2107610777
description: scientific article; zbMATH DE number 4054282