Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations

Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations

<p/> <p>The exponential stability of singularly perturbed impulsive delay integrodifferential equations (SPIDIDEs) is concerned. By establishing an impulsive delay integrodifferential inequality (IDIDI), some sufficient conditions ensuring the exponentially stable of any solution of SPID...

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Main Authors: Xu Liguang, He Danhua
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2009/369185
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spelling doaj-0d89413c2e8b4d5a988a48dd178dd0da2020-11-24T21:16:15ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091369185Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential EquationsXu LiguangHe Danhua<p/> <p>The exponential stability of singularly perturbed impulsive delay integrodifferential equations (SPIDIDEs) is concerned. By establishing an impulsive delay integrodifferential inequality (IDIDI), some sufficient conditions ensuring the exponentially stable of any solution of SPIDIDEs for sufficiently small <inline-formula> <graphic file="1029-242X-2009-369185-i1.gif"/></inline-formula> are obtained. A numerical example shows the effectiveness of our theoretical results.</p>http://www.journalofinequalitiesandapplications.com/content/2009/369185
collection DOAJ
language English
format Article
sources DOAJ
author Xu Liguang
He Danhua
spellingShingle Xu Liguang
He Danhua
Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations
Journal of Inequalities and Applications
author_facet Xu Liguang
He Danhua
author_sort Xu Liguang
title Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations
title_short Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations
title_full Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations
title_fullStr Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations
title_full_unstemmed Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations
title_sort integrodifferential inequality for stability of singularly perturbed impulsive delay integrodifferential equations
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2009-01-01
description <p/> <p>The exponential stability of singularly perturbed impulsive delay integrodifferential equations (SPIDIDEs) is concerned. By establishing an impulsive delay integrodifferential inequality (IDIDI), some sufficient conditions ensuring the exponentially stable of any solution of SPIDIDEs for sufficiently small <inline-formula> <graphic file="1029-242X-2009-369185-i1.gif"/></inline-formula> are obtained. A numerical example shows the effectiveness of our theoretical results.</p>
url http://www.journalofinequalitiesandapplications.com/content/2009/369185
work_keys_str_mv AT xuliguang integrodifferentialinequalityforstabilityofsingularlyperturbedimpulsivedelayintegrodifferentialequations
AT hedanhua integrodifferentialinequalityforstabilityofsingularlyperturbedimpulsivedelayintegrodifferentialequations
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