Title

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.

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

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

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