On positivity and stability of linear time-varying Volterra equations
type: Item
instance of: scholarly article
title: On positivity and stability of linear time-varying Volterra equations
zbMATH Open document ID: 1182.45003
author: Achim Ilchmann
author: Pham Huu Anh Ngoc
published in: Positivity
publication date: 2009-12-02T00:00:00Z
full work available at URL: dbt mods 00010377
review text: The paper deals with the positivity and the stability of solutions to a linear time-varying Volterra integro-differential equation of non-convolution type. The positivity is characterised using Metzler matrices. Under some suitable hypotheses, it is shown that positivity implies exponential asymptotic stability.
reviewed by: Iulian Stoleriu
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M05
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 45M20
zbMATH DE Number: 5641591
zbMATH Keywords: positive solution
zbMATH Keywords: exponential asymptotic stability
zbMATH Keywords: linear time-varying Volterra integro-differential equation of non-convolution type
MaRDI profile type: Publication
OpenAlex ID: W2014006285
Wikidata QID: Q123262088
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DOI: 10.1007/S11117-008-2235-6
description: scientific article; zbMATH DE number 5641591