Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales
We establish some new oscillation criteria for nonlinear dynamic equation of the form on an arbitrary time scale with , where are positive rd-continuous functions. An example illustrating the importance of our result is included.
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Main Authors: | , , , |
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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2013/740568 |
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author | Xin Wu Taixiang Sun Hongjian Xi Changhong Chen |
author_facet | Xin Wu Taixiang Sun Hongjian Xi Changhong Chen |
author_sort | Xin Wu |
collection | DOAJ |
description | We establish some new oscillation criteria for nonlinear dynamic equation of the form on an arbitrary time scale with , where are positive rd-continuous functions. An example illustrating the importance of our result is included. |
format | Article |
id | doaj-art-ce2400cc49034ed9b1b39ff35fc47533 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-ce2400cc49034ed9b1b39ff35fc475332025-02-03T01:07:18ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/740568740568Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time ScalesXin Wu0Taixiang Sun1Hongjian Xi2Changhong Chen3College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaDepartment of Mathematics, Guangxi College of Finance and Economics, Nanning, Guangxi 530003, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaWe establish some new oscillation criteria for nonlinear dynamic equation of the form on an arbitrary time scale with , where are positive rd-continuous functions. An example illustrating the importance of our result is included.http://dx.doi.org/10.1155/2013/740568 |
spellingShingle | Xin Wu Taixiang Sun Hongjian Xi Changhong Chen Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales Abstract and Applied Analysis |
title | Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales |
title_full | Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales |
title_fullStr | Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales |
title_full_unstemmed | Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales |
title_short | Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales |
title_sort | oscillation criteria for fourth order nonlinear dynamic equations on time scales |
url | http://dx.doi.org/10.1155/2013/740568 |
work_keys_str_mv | AT xinwu oscillationcriteriaforfourthordernonlineardynamicequationsontimescales AT taixiangsun oscillationcriteriaforfourthordernonlineardynamicequationsontimescales AT hongjianxi oscillationcriteriaforfourthordernonlineardynamicequationsontimescales AT changhongchen oscillationcriteriaforfourthordernonlineardynamicequationsontimescales |