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Neutral Differential Equations of Higher-Order in Canonical Form: Oscillation Criteria

Author

Listed:
  • Abdulaziz Khalid Alsharidi

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Hasa 31982, Saudi Arabia)

  • Ali Muhib

    (Department of Mathematics, Faculty of Applied and Educational Sciences–Al-Nadera, Ibb University, Ibb 70270, Yemen
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Sayed K. Elagan

    (Department of Mathematics and Computer Sciences, Faculty of Science, Menoufia University, Shebin Elkom 32511, Egypt
    Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia)

Abstract

This paper aims to study a class of neutral differential equations of higher-order in canonical form. By using the comparison technique, we obtain sufficient conditions to ensure that the studied differential equations are oscillatory. The criteria that we obtained are to improve and extend some of the results in previous literature. In addition, an example is given that shows the applicability of the results we obtained.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3300-:d:1203747
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    References listed on IDEAS

    as
    1. Omar Bazighifan, 2020. "Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-7, October.
    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.
    3. B. Baculíková, 2011. "Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-15, March.
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    Cited by:

    1. 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.

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