Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales

This paper is concerned with second-order nonlinear damped dynamic equations on time scales of the following more general form (p(t)k1(x(t),xΔ(t)))Δ+r(t)k2(x(t),xΔ(t))xΔ(t)+f(t,x(σ(t)))=0. New oscillation results are given to handle some cases not covered by known criteria. An illustrative example i...

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Main Authors: Yang-Cong Qiu, Qi-Ru Wang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/351256
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author Yang-Cong Qiu
Qi-Ru Wang
author_facet Yang-Cong Qiu
Qi-Ru Wang
author_sort Yang-Cong Qiu
collection DOAJ
description This paper is concerned with second-order nonlinear damped dynamic equations on time scales of the following more general form (p(t)k1(x(t),xΔ(t)))Δ+r(t)k2(x(t),xΔ(t))xΔ(t)+f(t,x(σ(t)))=0. New oscillation results are given to handle some cases not covered by known criteria. An illustrative example is also presented.
format Article
id doaj-art-768b89937519410ea62a46bd4740054f
institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-768b89937519410ea62a46bd4740054f2025-02-03T01:06:40ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/351256351256Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time ScalesYang-Cong Qiu0Qi-Ru Wang1School of Humanities and Social Science, Shunde Polytechnic, Foshan, Guangdong 528333, ChinaSchool of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, ChinaThis paper is concerned with second-order nonlinear damped dynamic equations on time scales of the following more general form (p(t)k1(x(t),xΔ(t)))Δ+r(t)k2(x(t),xΔ(t))xΔ(t)+f(t,x(σ(t)))=0. New oscillation results are given to handle some cases not covered by known criteria. An illustrative example is also presented.http://dx.doi.org/10.1155/2014/351256
spellingShingle Yang-Cong Qiu
Qi-Ru Wang
Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales
Abstract and Applied Analysis
title Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales
title_full Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales
title_fullStr Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales
title_full_unstemmed Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales
title_short Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales
title_sort oscillation results for second order nonlinear damped dynamic equations on time scales
url http://dx.doi.org/10.1155/2014/351256
work_keys_str_mv AT yangcongqiu oscillationresultsforsecondordernonlineardampeddynamicequationsontimescales
AT qiruwang oscillationresultsforsecondordernonlineardampeddynamicequationsontimescales