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

Author

Listed:
  • Taher S. Hassan

    (Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Rabie A. Ramadan

    (College of Computer Science and Engineering, University of Ha’il, Ha’il 81481, Saudi Arabia
    Department of Computer Engineering, Faculty of Engineering, Cairo University, Cairo 12613, Egypt)

  • 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
    Systems and Computer Engineering Department, Faculty of Engineering, Al-Azhar University, Cairo 11651, Egypt)

  • 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)

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.

Suggested Citation

  • Taher S. Hassan & Rabie A. Ramadan & Zainab Alsheekhhussain & Ahmed Y. Khedr & Amir Abdel Menaem & Ismoil Odinaev, 2022. "Improved Hille Oscillation Criteria for Nonlinear Functional Dynamic Equations of Third-Order," Mathematics, MDPI, vol. 10(7), pages 1-15, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1078-:d:781001
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    References listed on IDEAS

    as
    1. Osama Moaaz & Ioannis Dassios & Omar Bazighifan, 2020. "Oscillation Criteria of Higher-order Neutral Differential Equations with Several Deviating Arguments," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    2. Taher S. Hassan & Yuangong Sun & Amir Abdel Menaem, 2020. "Improved Oscillation Results for Functional Nonlinear Dynamic Equations of Second Order," Mathematics, MDPI, vol. 8(11), pages 1-19, October.
    3. Osama Moaaz & Rami Ahmad El-Nabulsi & Waad Muhsin & Omar Bazighifan, 2020. "Improved Oscillation Criteria for 2nd-Order Neutral Differential Equations with Distributed Deviating Arguments," Mathematics, MDPI, vol. 8(5), pages 1-12, May.
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    Citations

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    Cited by:

    1. Taher S. Hassan & Qingkai Kong & Rami Ahmad El-Nabulsi & Waranont Anukool, 2022. "New Hille Type and Ohriska Type Criteria for Nonlinear Third-Order Dynamic Equations," Mathematics, MDPI, vol. 10(21), pages 1-12, November.

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