IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i4p635-d1591652.html
   My bibliography  Save this article

Iterative Kneser-Type Criteria for Oscillation of Half-Linear Second-Order Advanced Dynamic Equations

Author

Listed:
  • Taher S. Hassan

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 55473, Saudi Arabia
    Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Bassant M. El-Matary

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia)

  • Ioan-Lucian Popa

    (Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, Romania
    Department of Computing, Mathematics and Electronics, 1 Decembrie 1918 University of Alba Iulia, 510009 Alba Iulia, Romania)

  • Mouataz Billah Mesmouli

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 55473, Saudi Arabia)

  • Ismoil Odinaev

    (Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia)

  • Yousef Jawarneh

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 55473, Saudi Arabia)

Abstract

This work aims to develop new iterative Kneser-type criteria for determining the oscillatory behaviour of half-linear second-order advanced dynamic equations on arbitrary unbounded-above time scales T . The results extend and refine previously established criteria for these equations while also generalising classical criteria for corresponding ordinary dynamic equations. This study provides a broader and more flexible approach to analysing such systems by introducing iterative methods. Several examples are included to demonstrate the accuracy, usefulness, and adaptability.

Suggested Citation

  • Taher S. Hassan & Bassant M. El-Matary & Ioan-Lucian Popa & Mouataz Billah Mesmouli & Ismoil Odinaev & Yousef Jawarneh, 2025. "Iterative Kneser-Type Criteria for Oscillation of Half-Linear Second-Order Advanced Dynamic Equations," Mathematics, MDPI, vol. 13(4), pages 1-13, February.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:4:p:635-:d:1591652
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/4/635/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/4/635/
    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:13:y:2025:i:4:p:635-:d:1591652. 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.