Oscillatory and Asymptotic Properties on a Class of Third Nonlinear Dynamic Equations with Damping Term on Time Scales

We establish some new oscillatory and asymptotic criteria for a class of third-order nonlinear dynamic equations with damping term on time scales. The established results on one hand extend some known results in the literature on the other hand unify continuous and discrete analysis. For illustrati...

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Main Authors: Qinghua Feng, Huizeng Qin
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/340574
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author Qinghua Feng
Huizeng Qin
author_facet Qinghua Feng
Huizeng Qin
author_sort Qinghua Feng
collection DOAJ
description We establish some new oscillatory and asymptotic criteria for a class of third-order nonlinear dynamic equations with damping term on time scales. The established results on one hand extend some known results in the literature on the other hand unify continuous and discrete analysis. For illustrating the validity of the established results, we also present some applications for them.
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institution Kabale University
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publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-73e361552d6f48469e7daea5daa7acd12025-02-03T01:08:56ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/340574340574Oscillatory and Asymptotic Properties on a Class of Third Nonlinear Dynamic Equations with Damping Term on Time ScalesQinghua Feng0Huizeng Qin1School of Science, Shandong University of Technology, Zhangzhou Road 12, Zibo 255049, ChinaSchool of Science, Shandong University of Technology, Zhangzhou Road 12, Zibo 255049, ChinaWe establish some new oscillatory and asymptotic criteria for a class of third-order nonlinear dynamic equations with damping term on time scales. The established results on one hand extend some known results in the literature on the other hand unify continuous and discrete analysis. For illustrating the validity of the established results, we also present some applications for them.http://dx.doi.org/10.1155/2013/340574
spellingShingle Qinghua Feng
Huizeng Qin
Oscillatory and Asymptotic Properties on a Class of Third Nonlinear Dynamic Equations with Damping Term on Time Scales
Abstract and Applied Analysis
title Oscillatory and Asymptotic Properties on a Class of Third Nonlinear Dynamic Equations with Damping Term on Time Scales
title_full Oscillatory and Asymptotic Properties on a Class of Third Nonlinear Dynamic Equations with Damping Term on Time Scales
title_fullStr Oscillatory and Asymptotic Properties on a Class of Third Nonlinear Dynamic Equations with Damping Term on Time Scales
title_full_unstemmed Oscillatory and Asymptotic Properties on a Class of Third Nonlinear Dynamic Equations with Damping Term on Time Scales
title_short Oscillatory and Asymptotic Properties on a Class of Third Nonlinear Dynamic Equations with Damping Term on Time Scales
title_sort oscillatory and asymptotic properties on a class of third nonlinear dynamic equations with damping term on time scales
url http://dx.doi.org/10.1155/2013/340574
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