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Hille and Nehari type criteria for third-order delay dynamic equations |
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| Authors: | Ravi P. Agarwal Tongxing Li Chenghui Zhang |
| Affiliation: | 1. Department of Mathematics , Texas A&2. M University-Kingsville, University Blvd. , Kingsville , TX , 78363-8202 , USA;3. School of Control Science and Engineering, Shandong University , Jinan, Shandong , 250061 , P.R. China |
| Abstract: | The objective of this note is to present new Hille and Nehari type asymptotic criteria for a class of third-order delay dynamic equations on a time scale. Assumptions in our theorems are less restrictive, whereas the proofs are significantly simpler compared to those reported in the literature. The results obtained extend and improve some previous results. |
| Keywords: | asymptotic behaviour delay dynamic equation third-order equation time scale |