Existence for Eventually Positive Solutions of High-Order Nonlinear Neutral Differential Equations with Distributed Delay

We consider the existence for eventually positive solutions of high-order nonlinear neutral differential equations with distributed delay. We use Lebesgue's dominated convergence theorem to obtain new necessary and sufficient condition for the existence of eventually positive solutions.

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Bibliographic Details
Main Authors: Huanhuan Zhao, Youjun Liu, Jurang Yan
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/618058
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author Huanhuan Zhao
Youjun Liu
Jurang Yan
author_facet Huanhuan Zhao
Youjun Liu
Jurang Yan
author_sort Huanhuan Zhao
collection DOAJ
description We consider the existence for eventually positive solutions of high-order nonlinear neutral differential equations with distributed delay. We use Lebesgue's dominated convergence theorem to obtain new necessary and sufficient condition for the existence of eventually positive solutions.
format Article
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2012-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-254cfa5431374f9f9f3d3a138aa129a92025-02-03T05:51:53ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/618058618058Existence for Eventually Positive Solutions of High-Order Nonlinear Neutral Differential Equations with Distributed DelayHuanhuan Zhao0Youjun Liu1Jurang Yan2College of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaCollege of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaSchool of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, ChinaWe consider the existence for eventually positive solutions of high-order nonlinear neutral differential equations with distributed delay. We use Lebesgue's dominated convergence theorem to obtain new necessary and sufficient condition for the existence of eventually positive solutions.http://dx.doi.org/10.1155/2012/618058
spellingShingle Huanhuan Zhao
Youjun Liu
Jurang Yan
Existence for Eventually Positive Solutions of High-Order Nonlinear Neutral Differential Equations with Distributed Delay
Discrete Dynamics in Nature and Society
title Existence for Eventually Positive Solutions of High-Order Nonlinear Neutral Differential Equations with Distributed Delay
title_full Existence for Eventually Positive Solutions of High-Order Nonlinear Neutral Differential Equations with Distributed Delay
title_fullStr Existence for Eventually Positive Solutions of High-Order Nonlinear Neutral Differential Equations with Distributed Delay
title_full_unstemmed Existence for Eventually Positive Solutions of High-Order Nonlinear Neutral Differential Equations with Distributed Delay
title_short Existence for Eventually Positive Solutions of High-Order Nonlinear Neutral Differential Equations with Distributed Delay
title_sort existence for eventually positive solutions of high order nonlinear neutral differential equations with distributed delay
url http://dx.doi.org/10.1155/2012/618058
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AT youjunliu existenceforeventuallypositivesolutionsofhighordernonlinearneutraldifferentialequationswithdistributeddelay
AT jurangyan existenceforeventuallypositivesolutionsofhighordernonlinearneutraldifferentialequationswithdistributeddelay