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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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. |
format | Article |
id | doaj-art-f76f78d9a5eb460a93722aab19a50a35 |
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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