IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i16p2902-d886923.html
   My bibliography  Save this article

On the Asymptotic Behavior of Noncanonical Third-Order Emden–Fowler Delay Differential Equations with a Superlinear Neutral Term

Author

Listed:
  • Qingmin Liu

    (School of Control Science and Engineering, Shandong University, Jinan 250061, China)

  • Said R. Grace

    (Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt)

  • Irena Jadlovská

    (Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 040 01 Košice, Slovakia)

  • Ercan Tunç

    (Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpasa University, 60240 Tokat, Turkey)

  • Tongxing Li

    (School of Control Science and Engineering, Shandong University, Jinan 250061, China)

Abstract

The present paper is concerned with the asymptotic behavior of solutions to a class of noncanonical third-order Emden–Fowler delay differential equations with a superlinear neutral term. Using a Riccati-type transformation as well as integral criteria, we establish some new sufficient conditions guaranteeing that every solution of the equation considered either oscillates or converges to zero asymptotically. The results are illustrated with two examples.

Suggested Citation

  • Qingmin Liu & Said R. Grace & Irena Jadlovská & Ercan Tunç & Tongxing Li, 2022. "On the Asymptotic Behavior of Noncanonical Third-Order Emden–Fowler Delay Differential Equations with a Superlinear Neutral Term," Mathematics, MDPI, vol. 10(16), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2902-:d:886923
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/16/2902/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/16/2902/
    Download Restriction: no
    ---><---

    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:10:y:2022:i:16:p:2902-:d:886923. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.