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Oscillatory Properties of Fourth-Order Advanced Differential Equations

Author

Listed:
  • Alanoud Almutairi

    (Department of Mathematics, Faculty of Science, University of Hafr Al Batin, P.O. Box 1803, Hafar Al Batin 31991, Saudi Arabia)

  • Ali Hasan Ali

    (Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
    Institute of Mathematics, University of Debrecen, Pf. 400, H-4002 Debrecen, Hungary)

  • Omar Bazighifan

    (Department of Mathematics, Faculty of Science, Hadhramout University, Mukalla 50512, Yemen
    Department of Mathematics, Faculty of Education, Seiyun University, Seiyun 50512, Yemen
    Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy)

  • Loredana Florentina Iambor

    (Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania)

Abstract

This paper presents a study on the oscillatory behavior of solutions to fourth-order advanced differential equations involving p -Laplacian-like operator. We obtain oscillation criteria using techniques from first and second-order delay differential equations. The results of this work contribute to a deeper understanding of fourth-order differential equations and their connections to various branches of mathematics and practical sciences. The findings emphasize the importance of continued research in this area.

Suggested Citation

  • Alanoud Almutairi & Ali Hasan Ali & Omar Bazighifan & Loredana Florentina Iambor, 2023. "Oscillatory Properties of Fourth-Order Advanced Differential Equations," Mathematics, MDPI, vol. 11(6), pages 1-11, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1391-:d:1096081
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Agarwal, Ravi P. & Zhang, Chenghui & Li, Tongxing, 2016. "Some remarks on oscillation of second order neutral differential equations," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 178-181.
    Full references (including those not matched with items on IDEAS)

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