Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

This paper is concerned with oscillation of second-order nonlinear dynamic equations of the form on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases not covered by known criteria.

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Main Authors: Shao-Yan Zhang, Qi-Ru Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/743469
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author Shao-Yan Zhang
Qi-Ru Wang
author_facet Shao-Yan Zhang
Qi-Ru Wang
author_sort Shao-Yan Zhang
collection DOAJ
description This paper is concerned with oscillation of second-order nonlinear dynamic equations of the form on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases not covered by known criteria.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-b3d1eeb600bf48229cd6fbb0682597ae2025-02-03T01:09:30ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/743469743469Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time ScalesShao-Yan Zhang0Qi-Ru Wang1Department of Mathematics, Guangdong University of Finance, 527 Yingfu Lu, Guangdong, Guangzhou 510520, ChinaSchool of Mathematics & Computational Science, Sun Yat-Sen University, 135 Xinguang Xi Lu, Guangdong, Guangzhou 510275, ChinaThis paper is concerned with oscillation of second-order nonlinear dynamic equations of the form on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases not covered by known criteria.http://dx.doi.org/10.1155/2012/743469
spellingShingle Shao-Yan Zhang
Qi-Ru Wang
Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales
Abstract and Applied Analysis
title Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales
title_full Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales
title_fullStr Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales
title_full_unstemmed Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales
title_short Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales
title_sort oscillation criteria for second order nonlinear dynamic equations on time scales
url http://dx.doi.org/10.1155/2012/743469
work_keys_str_mv AT shaoyanzhang oscillationcriteriaforsecondordernonlineardynamicequationsontimescales
AT qiruwang oscillationcriteriaforsecondordernonlineardynamicequationsontimescales