Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales

By using a Riccati transformation and inequality, we present some new oscillation theorems for the second-order nonlinear dynamic equation with damping on time scales. An example illustrating the importance of our results is also included.

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Main Authors: Weisong Chen, Zhenlai Han, Shurong Sun, Tongxing Li
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/907130
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author Weisong Chen
Zhenlai Han
Shurong Sun
Tongxing Li
author_facet Weisong Chen
Zhenlai Han
Shurong Sun
Tongxing Li
author_sort Weisong Chen
collection DOAJ
description By using a Riccati transformation and inequality, we present some new oscillation theorems for the second-order nonlinear dynamic equation with damping on time scales. An example illustrating the importance of our results is also included.
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-cfb4a501d88246998454b58f36ff18502025-02-03T05:46:05ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/907130907130Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time ScalesWeisong Chen0Zhenlai Han1Shurong Sun2Tongxing Li3School of Science, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Science, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Science, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Science, University of Jinan, Jinan, Shandong 250022, ChinaBy using a Riccati transformation and inequality, we present some new oscillation theorems for the second-order nonlinear dynamic equation with damping on time scales. An example illustrating the importance of our results is also included.http://dx.doi.org/10.1155/2010/907130
spellingShingle Weisong Chen
Zhenlai Han
Shurong Sun
Tongxing Li
Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales
Discrete Dynamics in Nature and Society
title Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales
title_full Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales
title_fullStr Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales
title_full_unstemmed Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales
title_short Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales
title_sort oscillation behavior of a class of second order dynamic equations with damping on time scales
url http://dx.doi.org/10.1155/2010/907130
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AT zhenlaihan oscillationbehaviorofaclassofsecondorderdynamicequationswithdampingontimescales
AT shurongsun oscillationbehaviorofaclassofsecondorderdynamicequationswithdampingontimescales
AT tongxingli oscillationbehaviorofaclassofsecondorderdynamicequationswithdampingontimescales