New Criteria for Oscillation of Advanced Noncanonical Nonlinear Dynamic Equations

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

Mathematics, 2024, vol. 12, issue 6, 1-13

Abstract: In this study, novel criteria are derived to ensure the oscillation of solutions in nonlinear advanced noncanonical dynamic equations. The obtained results are reminiscent of the criteria proposed by Hille and Ohriska for canonical dynamic equations. Additionally, this paper addresses a previously unresolved issue found in numerous existing works in the literature on advanced dynamic equations. This study provides a range of illustrative examples to showcase the precision, practicality, and adaptability of the obtained findings.

Keywords: oscillation behavior; second-order; nonlinear; dynamic equation; time scale (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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