Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses

Solutions of quite a few higher-order delay functional differential equations oscillate or converge to zero. In this paper, we obtain several such dichotomous criteria for a class of third-order nonlinear differential equation with impulses.

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Main Authors: Kun-Wen Wen, Gen-Qiang Wang, Sui Sun Cheng
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/562634
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author Kun-Wen Wen
Gen-Qiang Wang
Sui Sun Cheng
author_facet Kun-Wen Wen
Gen-Qiang Wang
Sui Sun Cheng
author_sort Kun-Wen Wen
collection DOAJ
description Solutions of quite a few higher-order delay functional differential equations oscillate or converge to zero. In this paper, we obtain several such dichotomous criteria for a class of third-order nonlinear differential equation with impulses.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-dc77a8343f8a4f2aa947b00f1f5fcca32025-02-03T06:13:56ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/562634562634Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with ImpulsesKun-Wen Wen0Gen-Qiang Wang1Sui Sun Cheng2Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, Guangdong 510665, ChinaDepartment of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, Guangdong 510665, ChinaDepartment of Mathematics, Tsing Hua University, Hsinchu 30043, TaiwanSolutions of quite a few higher-order delay functional differential equations oscillate or converge to zero. In this paper, we obtain several such dichotomous criteria for a class of third-order nonlinear differential equation with impulses.http://dx.doi.org/10.1155/2010/562634
spellingShingle Kun-Wen Wen
Gen-Qiang Wang
Sui Sun Cheng
Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses
Abstract and Applied Analysis
title Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses
title_full Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses
title_fullStr Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses
title_full_unstemmed Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses
title_short Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses
title_sort asymptotic dichotomy in a class of third order nonlinear differential equations with impulses
url http://dx.doi.org/10.1155/2010/562634
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AT suisuncheng asymptoticdichotomyinaclassofthirdordernonlineardifferentialequationswithimpulses