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New Criteria for Oscillation of Advanced Noncanonical Nonlinear Dynamic Equations

2024; Multidisciplinary Digital Publishing Institute; Volume: 12; Issue: 6 Linguagem: Inglês

10.3390/math12060824

2227-7390

Taher S. Hassan, Rami Ahmad El‐Nabulsi, Naveed Iqbal, Amir Abdel Menaem,

Differential Equations and Numerical Methods

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.