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Oscillation Criteria for Qusilinear Even-Order Differential Equations

Author

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  • Mnaouer Kachout

    (Department of Computer Engineering, College of Computer Science and Engineering, University of Ha’il, Ha’il 2440, Saudi Arabia
    Innov’COM, Sup’Comp, Carthage University, Tunis 1054, Tunisia)

  • Clemente Cesarano

    (Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy)

  • Amir Abdel Menaem

    (Electrical Engineering Department, Mansoura University, Mansoura 35516, Egypt)

  • Taher S. Hassan

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

  • Belal A. Glalah

    (Department of Basic Science, Higher Technological Institute, Tenth of Ramadan City 44629, Egypt)

Abstract

In this study, we extended and improved the oscillation criteria previously established for second-order differential equations to even-order differential equations. Some examples are given to demonstrate the significance of the results accomplished.

Suggested Citation

  • Mnaouer Kachout & Clemente Cesarano & Amir Abdel Menaem & Taher S. Hassan & Belal A. Glalah, 2023. "Oscillation Criteria for Qusilinear Even-Order Differential Equations," Mathematics, MDPI, vol. 11(12), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2782-:d:1175487
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    References listed on IDEAS

    as
    1. Agarwal, Ravi P. & Bohner, Martin & Li, Tongxing, 2015. "Oscillatory behavior of second-order half-linear damped dynamic equations," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 408-418.
    2. Taher S. Hassan & Clemente Cesarano & Rami Ahmad El-Nabulsi & Waranont Anukool, 2022. "Improved Hille-Type Oscillation Criteria for Second-Order Quasilinear Dynamic Equations," Mathematics, MDPI, vol. 10(19), pages 1-18, October.
    3. Barakah Almarri & Ali Hasan Ali & António M. Lopes & Omar Bazighifan, 2022. "Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions," Mathematics, MDPI, vol. 10(6), pages 1-10, March.
    4. Osama Moaaz & Ioannis Dassios & Omar Bazighifan & Ali Muhib, 2020. "Oscillation Theorems for Nonlinear Differential Equations of Fourth-Order," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    5. Taher S. Hassan & Qingkai Kong & Bassant M. El-Matary, 2023. "Oscillation Criteria for Advanced Half-Linear Differential Equations of Second Order," Mathematics, MDPI, vol. 11(6), pages 1-10, March.
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