A New Comparison Principle for Impulsive Functional Differential Equations

A New Comparison Principle for Impulsive Functional Differential Equations

We establish a new comparison principle for impulsive differential systems with time delay. Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our r...

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Main Authors: Gang Li, Weizhong Ling, Changming Ding
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/139828
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spelling doaj-55645361410146cb90b8dc8d39708d6c2020-11-24T23:09:07ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/139828139828A New Comparison Principle for Impulsive Functional Differential EquationsGang Li0Weizhong Ling1Changming Ding2Department of Math, Shandong University of Science and Technology, Qingdao 266590, ChinaFuyang High School, Hangzhou, Zhejiang 311400, ChinaSchool of Mathematical Sciences, Xiamen University, Xiamen 361005, ChinaWe establish a new comparison principle for impulsive differential systems with time delay. Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our results.http://dx.doi.org/10.1155/2015/139828
collection DOAJ
language English
format Article
sources DOAJ
author Gang Li
Weizhong Ling
Changming Ding
spellingShingle Gang Li
Weizhong Ling
Changming Ding
A New Comparison Principle for Impulsive Functional Differential Equations
Discrete Dynamics in Nature and Society
author_facet Gang Li
Weizhong Ling
Changming Ding
author_sort Gang Li
title A New Comparison Principle for Impulsive Functional Differential Equations
title_short A New Comparison Principle for Impulsive Functional Differential Equations
title_full A New Comparison Principle for Impulsive Functional Differential Equations
title_fullStr A New Comparison Principle for Impulsive Functional Differential Equations
title_full_unstemmed A New Comparison Principle for Impulsive Functional Differential Equations
title_sort new comparison principle for impulsive functional differential equations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2015-01-01
description We establish a new comparison principle for impulsive differential systems with time delay. Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our results.
url http://dx.doi.org/10.1155/2015/139828
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AT weizhongling anewcomparisonprincipleforimpulsivefunctionaldifferentialequations
AT changmingding anewcomparisonprincipleforimpulsivefunctionaldifferentialequations
AT gangli newcomparisonprincipleforimpulsivefunctionaldifferentialequations
AT weizhongling newcomparisonprincipleforimpulsivefunctionaldifferentialequations
AT changmingding newcomparisonprincipleforimpulsivefunctionaldifferentialequations
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