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New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms |
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| Authors: | Said R Grace Jehad Alzabut Abdullah zbekler |
| Institution: | 1.Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Giza 12221, Egypt;2.Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia;3.Department of Mathematics, Atilim University, Incek, Ankara 06830, Turkey; or |
| Abstract: | In the paper, we provide sufficient conditions for the oscillatory and asymptotic behavior of a new type of third-order nonlinear dynamic equations with mixed nonlinear neutral terms. Our theorems not only improve and extend existing theorems in the literature but also provide a new approach as far as the nonlinear neutral terms are concerned. The main results are illustrated by some particular examples. |
| Keywords: | oscillation asymptotic behavior nonlinear neutral term third-order dynamic equations |