Improved Hille Oscillation Criteria for Nonlinear Functional Dynamic Equations of Third-Order

Taher S. Hassan, Rabie A. Ramadan, Zainab Alsheekhhussain, Ahmed Y. Khedr, Amir Abdel Menaem and Ismoil Odinaev
Additional contact information
Taher S. Hassan: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Rabie A. Ramadan: College of Computer Science and Engineering, University of Ha’il, Ha’il 81481, Saudi Arabia
Zainab Alsheekhhussain: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Ahmed Y. Khedr: College of Computer Science and Engineering, University of Ha’il, Ha’il 81481, Saudi Arabia
Amir Abdel Menaem: Electrical Engineering Department, Mansoura University, Mansoura 35516, Egypt
Ismoil Odinaev: Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia

Mathematics, 2022, vol. 10, issue 7, 1-15

Abstract: This paper aims to improve Hille oscillation criteria for the third-order functional dynamic equation p 2 ( ξ ) ϕ γ 2 p 1 ξ ϕ γ 1 y Δ ( ξ ) Δ Δ + a ( ξ ) ϕ γ y ( g ( ξ ) ) = 0 , on an above-unbounded time scale T . The obtained results improve related contributions reported in the literature without restrictive conditions on the time scales. To demonstrate the essential results, an example is presented.

Keywords: oscillation criteria; third order; dynamic equations; time scales (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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