Oscillatory Behavior of Second-Order Half-Linear Damped Dynamic Equations
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.
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
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)
Article - Journal
© 2015 Elsevier, All rights reserved.
01 Mar 2015