On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments

This paper is concerned with the asymptotic properties of solutions to a third-order nonlinear neutral delay differential equation with distributed deviating arguments. Several new theorems are obtained which ensure that every solution to this equation either is oscillatory or tends to zero. Two ill...

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Main Authors: Youliang Fu, Yazhou Tian, Cuimei Jiang, Tongxing Li
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/3954354
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author Youliang Fu
Yazhou Tian
Cuimei Jiang
Tongxing Li
author_facet Youliang Fu
Yazhou Tian
Cuimei Jiang
Tongxing Li
author_sort Youliang Fu
collection DOAJ
description This paper is concerned with the asymptotic properties of solutions to a third-order nonlinear neutral delay differential equation with distributed deviating arguments. Several new theorems are obtained which ensure that every solution to this equation either is oscillatory or tends to zero. Two illustrative examples are included.
format Article
id doaj-art-15bb16047a3f4942b2074c866dba31da
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2016-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-15bb16047a3f4942b2074c866dba31da2025-02-03T01:03:15ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/39543543954354On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating ArgumentsYouliang Fu0Yazhou Tian1Cuimei Jiang2Tongxing Li3Qingdao Technological University, Feixian, Shandong 273400, ChinaQingdao Technological University, Feixian, Shandong 273400, ChinaQingdao Technological University, Feixian, Shandong 273400, ChinaLinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi, Shandong 276005, ChinaThis paper is concerned with the asymptotic properties of solutions to a third-order nonlinear neutral delay differential equation with distributed deviating arguments. Several new theorems are obtained which ensure that every solution to this equation either is oscillatory or tends to zero. Two illustrative examples are included.http://dx.doi.org/10.1155/2016/3954354
spellingShingle Youliang Fu
Yazhou Tian
Cuimei Jiang
Tongxing Li
On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments
Journal of Function Spaces
title On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments
title_full On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments
title_fullStr On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments
title_full_unstemmed On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments
title_short On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments
title_sort on the asymptotic properties of nonlinear third order neutral delay differential equations with distributed deviating arguments
url http://dx.doi.org/10.1155/2016/3954354
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AT cuimeijiang ontheasymptoticpropertiesofnonlinearthirdorderneutraldelaydifferentialequationswithdistributeddeviatingarguments
AT tongxingli ontheasymptoticpropertiesofnonlinearthirdorderneutraldelaydifferentialequationswithdistributeddeviatingarguments