Oscillation criteria for second order nonlinear delay dynamic equations on time scales

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摘要

By employing the generalized Riccati transformation, we establish some new oscillation criteria for second order delay dynamic equations on time scales. The obtained results essentially improve the well-know oscillation results for half-linear dynamic equations such as Kamenev-type and Philos-type oscillation criteria. Some interesting examples are given to illustrate the versatility of our results.

论文关键词:Half-linear delay dynamic equations,Oscillation,Time scales,Riccati transformation

论文评审过程:Received 8 May 2015, Revised 27 July 2015, Accepted 1 August 2015, Available online 24 August 2015, Version of Record 24 August 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.08.010