Oscillatory Behavior of Second-Order Half-Linear Damped Dynamic Equations
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.
Recommended Citation
R. P. Agarwal et al., "Oscillatory Behavior of Second-Order Half-Linear Damped Dynamic Equations," Applied Mathematics and Computation, vol. 254, pp. 408 - 418, Elsevier, Mar 2015.
The definitive version is available at https://doi.org/10.1016/j.amc.2014.12.091
Department(s)
Mathematics and Statistics
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
International Standard Serial Number (ISSN)
0096-3003
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2015 Elsevier, All rights reserved.
Publication Date
01 Mar 2015
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.