Ψ-Stability of Nonlinear Volterra Integro-Differential Systems with Time Delay

We give some sufficient conditions for Ψ-uniform stability of the trivial solutions of a nonlinear differential system and of nonlinear Volterra integro-differential systems with time delay.

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Main Authors: Lianzhong Li, Maoan Han, Xin Xue, Yuanyuan Liu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/150684
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author Lianzhong Li
Maoan Han
Xin Xue
Yuanyuan Liu
author_facet Lianzhong Li
Maoan Han
Xin Xue
Yuanyuan Liu
author_sort Lianzhong Li
collection DOAJ
description We give some sufficient conditions for Ψ-uniform stability of the trivial solutions of a nonlinear differential system and of nonlinear Volterra integro-differential systems with time delay.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-f76f78d9a5eb460a93722aab19a50a352025-02-03T06:00:45ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/150684150684Ψ-Stability of Nonlinear Volterra Integro-Differential Systems with Time DelayLianzhong Li0Maoan Han1Xin Xue2Yuanyuan Liu3Department of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaSchool of Mathematics and Statistics, Taishan University, Tai'an, Shandong 271021, ChinaDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaWe give some sufficient conditions for Ψ-uniform stability of the trivial solutions of a nonlinear differential system and of nonlinear Volterra integro-differential systems with time delay.http://dx.doi.org/10.1155/2013/150684
spellingShingle Lianzhong Li
Maoan Han
Xin Xue
Yuanyuan Liu
Ψ-Stability of Nonlinear Volterra Integro-Differential Systems with Time Delay
Abstract and Applied Analysis
title Ψ-Stability of Nonlinear Volterra Integro-Differential Systems with Time Delay
title_full Ψ-Stability of Nonlinear Volterra Integro-Differential Systems with Time Delay
title_fullStr Ψ-Stability of Nonlinear Volterra Integro-Differential Systems with Time Delay
title_full_unstemmed Ψ-Stability of Nonlinear Volterra Integro-Differential Systems with Time Delay
title_short Ψ-Stability of Nonlinear Volterra Integro-Differential Systems with Time Delay
title_sort ψ stability of nonlinear volterra integro differential systems with time delay
url http://dx.doi.org/10.1155/2013/150684
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AT maoanhan psstabilityofnonlinearvolterraintegrodifferentialsystemswithtimedelay
AT xinxue psstabilityofnonlinearvolterraintegrodifferentialsystemswithtimedelay
AT yuanyuanliu psstabilityofnonlinearvolterraintegrodifferentialsystemswithtimedelay