IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i15p3300-d1203747.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/15/3300/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/15/3300/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Devi, Munesh & Yadav, Shalini & Arora, Rajan, 2021. "Optimal system, invariance analysis of fourth-Order nonlinear ablowitz-Kaup-Newell-Segur water wave dynamical equation using lie symmetry approach," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    2. Osama Moaaz & Ali Muhib & Shyam S. Santra, 2021. "An Oscillation Test for Solutions of Second-Order Neutral Differential Equations of Mixed Type," Mathematics, MDPI, vol. 9(14), pages 1-14, July.
    3. Higinio Ramos & Osama Moaaz & Ali Muhib & Jan Awrejcewicz, 2021. "More Effective Results for Testing Oscillation of Non-Canonical Neutral Delay Differential Equations," Mathematics, MDPI, vol. 9(10), pages 1-10, May.
    4. Shyam Sundar Santra & Rami Ahmad El-Nabulsi & Khaled Mohamed Khedher, 2021. "Oscillation of Second-Order Differential Equations with Multiple and Mixed Delays under a Canonical Operator," Mathematics, MDPI, vol. 9(12), pages 1-9, June.
    5. 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.
    6. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3300-:d:1203747. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.