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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/618058 |
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| _version_ | 1832554271079399424 |
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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 |
| id | doaj-art-254cfa5431374f9f9f3d3a138aa129a9 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| 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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