Article
Oscillatory Behavior of Second-Order Half-Linear Damped Dynamic Equations
Applied Mathematics and Computation
Abstract
By refining the generalized Riccati transformation technique, we obtain new oscillation criteria for a class of second-order half-linear delay dynamic equations with damping on a time scale. Assumptions in our theorems are less restrictive, these results complement and improve related contributions to the subject. In particular, the results obtained amend related results reported in the literature.
Department(s)
Mathematics and Statistics
Comments
The authors express their sincere gratitude to the editors and four anonymous referees for the careful reading of the original manuscript and useful comments that helped to improve the presentation of the results and accentuate important details. This research is supported by the AMEP of Linyi University, PR China.
Keywords and Phrases
- Damping,
- Linear transformations,
- Mathematical transformations,
- Nonlinear equations,
- Riccati equations,
- Damping terms,
- Delay dynamic equation,
- Oscillatory solutions,
- Second-order equation,
- Time-scales,
- Difference equations,
- Time scale
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2015 Elsevier, All rights reserved.
Publication Date
3-1-2015
Publication Date
01 Mar 2015
Disciplines
Citation Information
Ravi P. Agarwal, Martin Bohner and Tongxing Li. "Oscillatory Behavior of Second-Order Half-Linear Damped Dynamic Equations" Applied Mathematics and Computation Vol. 254 (2015) p. 408 - 418 ISSN: 0096-3003 Available at: http://works.bepress.com/martin-bohner/174/