Oscillation for Third-Order Nonlinear Delay Dynamic Equations on Time Scales

The oscillation for certain third-order nonlinear neutral delay dynamic equations on time scales is discussed in this article. By using the generalized Riccati transformation and the inequality technique, three new different sufficient conditions which ensure that every solution is oscillatory or co...

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Published inApplied Mechanics and Materials Vol. 475-476; no. Sensors, Measurement and Intelligent Materials II; pp. 1578 - 1582
Main Authors Liu, Shou Hua, Gao, Li, Zhang, Quan Xin
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.12.2013
Subjects
Delay
Inequalities
Mathematical analysis
Nonlinear dynamics
Nonlinearity
Oscillations
Time
Transformations
Riccati Transformation
Time Scale
Delay Dynamic Equation
Oscillation
Third-Order
Online AccessGet full text
ISBN3037859717
9783037859711
ISSN1660-9336
1662-7482
1662-7482
DOI10.4028/www.scientific.net/AMM.475-476.1578

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Summary:The oscillation for certain third-order nonlinear neutral delay dynamic equations on time scales is discussed in this article. By using the generalized Riccati transformation and the inequality technique, three new different sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained essentially generalize and improve earlier ones.
Bibliography:Selected, peer reviewed papers from the 2013 2nd International Conference on Sensors, Measurement and lntellligent Materials (ICSMIM 2013), November 16-17, 2013, Guangzhou, China
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ISBN:3037859717
9783037859711
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.475-476.1578