The behavior of solutions to linear integro-differential equations with unbounded delay
type: Item
instance of: scholarly article
title: The behavior of solutions to linear integro-differential equations with unbounded delay
zbMATH Open document ID: 0939.45005
DOI: 10.1016/S0898-1221(99)00181-9
author: I.-G. E. Kordonis
author: Ch. G. Philos
publication date: 2000-01-20T00:00:00Z
review text: The behavior of solutions to the scalar linear integro-differential equation with unbounded delay \[ x'(t)= ax(t)+ \int^t_{-\infty} K(t-s)x(s)ds \] is studied, where \(a\) is a real number and \(K\) is continuous real-valued and of one sign and not identically zero on \([0,\infty)\). Sufficient conditions for the stability and asymptotic stability of the solutions are established.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M05
Mathematics Subject Classification ID: 45M10
zbMATH DE Number: 1391618
zbMATH Keywords: linear integro-differential equation with unbounded delay
zbMATH Keywords: asymptotic stability
reviewed by: Izabela Foltyńska
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1391618