New Oscillatory Behavior of Third‐Order Nonlinear Delay Dynamic Equations on Time Scales

Li Gao, Quanxin Zhang and Shouhua Liu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: A class of third‐order nonlinear delay dynamic equations on time scales is studied. By using the generalized Riccati transformation and the inequality technique, four new sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained essentially improve earlier ones. Some examples are considered to illustrate the main results.

Date: 2014
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https://doi.org/10.1155/2014/914264

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:914264

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