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Differential Equations of Fourth-Order with p -Laplacian-like Operator: Oscillation Theorems

Author

Listed:
  • Omar Bazighifan

    (Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout 50512, Yemen
    Jadara Research Center, Jadara University, Irbid 21110, Jordan)

  • Nawa Alshammari

    (Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia)

  • Khalil S. Al-Ghafri

    (College of Applied Sciences, University of Technology and Applied Sciences, P.O. Box 14, Ibri 516, Oman)

  • Loredana Florentina Iambor

    (Department of Mathematics and Computer Science, University of Oradea, University Street, 410087 Oradea, Romania)

Abstract

In this work, we find new oscillation criteria for fourth-order advanced differential equations with a p-Laplace-type operator. We established our results through a comparison method with integral averaging and Riccati techniques to obtain new oscillatory properties for the considered equation. Our criteria substantially simplify and complement a number of existing ones. We give some examples to illustrate the significance of the obtained results.

Suggested Citation

  • Omar Bazighifan & Nawa Alshammari & Khalil S. Al-Ghafri & Loredana Florentina Iambor, 2024. "Differential Equations of Fourth-Order with p -Laplacian-like Operator: Oscillation Theorems," Mathematics, MDPI, vol. 12(22), pages 1-10, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:22:p:3558-:d:1521090
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    References listed on IDEAS

    as
    1. 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.
    2. Chatzarakis, G.E. & Džurina, J. & Jadlovská, I., 2019. "New oscillation criteria for second-order half-linear advanced differential equations," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 404-416.
    3. Bazighifan, Omar, 2020. "On the oscillation of certain fourth-order differential equations with p-Laplacian like operator," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    4. Agarwal, Ravi P. & Bohner, Martin & Li, Tongxing & Zhang, Chenghui, 2015. "Even-order half-linear advanced differential equations: improved criteria in oscillatory and asymptotic properties," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 481-490.
    5. M. Bartušek & M. Cecchi & Z. Došlá & M. Marini, 2012. "Fourth-Order Differential Equation with Deviating Argument," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, March.
    6. Abdulaziz Khalid Alsharidi & Ali Muhib & Sayed K. Elagan, 2023. "Neutral Differential Equations of Higher-Order in Canonical Form: Oscillation Criteria," Mathematics, MDPI, vol. 11(15), pages 1-13, July.
    Full references (including those not matched with items on IDEAS)

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