Amended Criteria of Oscillation for Nonlinear Functional Dynamic Equations of Second-Order

Taher S. Hassan, Rami Ahmad El-Nabulsi and Amir Abdel Menaem
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Taher S. Hassan: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Rami Ahmad El-Nabulsi: Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Amir Abdel Menaem: Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia

Mathematics, 2021, vol. 9, issue 11, 1-11

Abstract: In this paper, the sharp Hille-type oscillation criteria are proposed for a class of second-order nonlinear functional dynamic equations on an arbitrary time scale, by using the technique of Riccati transformation and integral averaging method. The obtained results demonstrate an improvement in Hille-type compared with the results reported in the literature. Some examples are provided to illustrate the significance of the obtained results.

Keywords: oscillation behavior; second-order; nonlinear; functional dynamic equation; time scales (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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