Oscillatory behavior of second-order half-linear damped dynamic equations

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摘要

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.

论文关键词:Oscillatory solution,Delay dynamic equation,Damping term,Second-order equation,Time scale

论文评审过程:Available online 11 February 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2014.12.091