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Oscillation of Third-Order Differential Equations with Advanced Arguments

Author

Listed:
  • Munirah Aldiaiji

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

  • Belgees Qaraad

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

  • Loredana Florentina Iambor

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

  • Safi S. Rabie

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    Department of Mathematics, Faculty of Science, New Mansoura University, New Mansoura 7723730, Egypt)

  • Elmetwally M. Elabbasy

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

Abstract

The main objective of this work was to study some oscillatory and asymptotic properties of a new class of advanced neutral differential equations. Using new relations to link the solution and its corresponding function, we introduced new oscillatory criteria that aim to enhance, simplify, and complement some of current results. We provide some examples to demonstrate the significance of our results.

Suggested Citation

  • Munirah Aldiaiji & Belgees Qaraad & Loredana Florentina Iambor & Safi S. Rabie & Elmetwally M. Elabbasy, 2023. "Oscillation of Third-Order Differential Equations with Advanced Arguments," Mathematics, MDPI, vol. 12(1), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2023:i:1:p:93-:d:1308442
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    References listed on IDEAS

    as
    1. 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.
    2. Asma Al-Jaser & Belgees Qaraad & Omar Bazighifan & Loredana Florentina Iambor, 2023. "Second-Order Neutral Differential Equations with Distributed Deviating Arguments: Oscillatory Behavior," Mathematics, MDPI, vol. 11(12), pages 1-15, June.
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