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Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations

Author

Listed:
  • Osama Moaaz

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Jan Awrejcewicz

    (Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, Poland)

  • Ali Muhib

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    Department of Mathematics, Faculty of Education (Al-Nadirah), Ibb University, Ibb P.O. Box 70270, Yemen)

Abstract

By establishing new conditions for the non-existence of so-called Kneser solutions, we can generate sufficient conditions to ensure that all solutions of odd-order equations are oscillatory. Our results improve and expand the previous results in the literature.

Suggested Citation

  • Osama Moaaz & Jan Awrejcewicz & Ali Muhib, 2020. "Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations," Mathematics, MDPI, vol. 8(6), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:937-:d:368599
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    References listed on IDEAS

    as
    1. Moaaz, Osama & Muhib, Ali, 2020. "New oscillation criteria for nonlinear delay differential equations of fourth-order," Applied Mathematics and Computation, Elsevier, vol. 377(C).
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    Citations

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    Cited by:

    1. Ioannis Dassios & Ali Muhib & Sobhy A. A. El-Marouf & Sayed K. Elagan, 2023. "Oscillation of Neutral Differential Equations with Damping Terms," Mathematics, MDPI, vol. 11(2), pages 1-15, January.
    2. Mansour Alatwi & Osama Moaaz & Wedad Albalawi & Fahd Masood & Hamdy El-Metwally, 2024. "Asymptotic and Oscillatory Analysis of Fourth-Order Nonlinear Differential Equations with p -Laplacian-like Operators and Neutral Delay Arguments," Mathematics, MDPI, vol. 12(3), pages 1-23, February.
    3. Hail S. Alrashdi & Wedad Albalawi & Ali Muhib & Osama Moaaz & Elmetwally M. Elabbasy, 2024. "Kamenev-Type Criteria for Testing the Asymptotic Behavior of Solutions of Third-Order Quasi-Linear Neutral Differential Equations," Mathematics, MDPI, vol. 12(11), pages 1-16, June.

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