IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i6p824-d1355211.html
   My bibliography  Save this article

New Criteria for Oscillation of Advanced Noncanonical Nonlinear Dynamic Equations

Author

Listed:
  • Taher S. Hassan

    (Mathematics Department, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Rami Ahmad El-Nabulsi

    (Center of Excellence in Quantum Technology, Faculty of Engineering, Chiang Mai University, Chiang Mai 50200, Thailand
    Quantum-Atom Optics Laboratory and Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Institute of Hydrobiology, Biology Centre of the Czech Academy of Sciences, 37005 České Budějovice, Czech Republic)

  • Naveed Iqbal

    (Mathematics Department, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia)

  • Amir Abdel Menaem

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

Abstract

In this study, novel criteria are derived to ensure the oscillation of solutions in nonlinear advanced noncanonical dynamic equations. The obtained results are reminiscent of the criteria proposed by Hille and Ohriska for canonical dynamic equations. Additionally, this paper addresses a previously unresolved issue found in numerous existing works in the literature on advanced dynamic equations. This study provides a range of illustrative examples to showcase the precision, practicality, and adaptability of the obtained findings.

Suggested Citation

  • Taher S. Hassan & Rami Ahmad El-Nabulsi & Naveed Iqbal & Amir Abdel Menaem, 2024. "New Criteria for Oscillation of Advanced Noncanonical Nonlinear Dynamic Equations," Mathematics, MDPI, vol. 12(6), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:6:p:824-:d:1355211
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/6/824/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/6/824/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Taher S. Hassan & Yuangong Sun & Amir Abdel Menaem, 2020. "Improved Oscillation Results for Functional Nonlinear Dynamic Equations of Second Order," Mathematics, MDPI, vol. 8(11), pages 1-19, October.
    2. 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.
    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. Taher S. Hassan & Qingkai Kong & Bassant M. El-Matary, 2023. "Oscillation Criteria for Advanced Half-Linear Differential Equations of Second Order," Mathematics, MDPI, vol. 11(6), pages 1-10, March.
    2. Zuzana Pátíková & Simona Fišnarová, 2021. "Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations," Mathematics, MDPI, vol. 9(3), pages 1-13, January.
    3. Omar Bazighifan & Clemente Cesarano, 2019. "Some New Oscillation Criteria for Second Order Neutral Differential Equations with Delayed Arguments," Mathematics, MDPI, vol. 7(7), pages 1-9, July.
    4. Taher S. Hassan & Rabie A. Ramadan & Zainab Alsheekhhussain & Ahmed Y. Khedr & Amir Abdel Menaem & Ismoil Odinaev, 2022. "Improved Hille Oscillation Criteria for Nonlinear Functional Dynamic Equations of Third-Order," Mathematics, MDPI, vol. 10(7), pages 1-15, March.
    5. Moaaz, Osama & Muhib, Ali, 2020. "New oscillation criteria for nonlinear delay differential equations of fourth-order," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    6. 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.
    7. Taher S. Hassan & Qingkai Kong & Rami Ahmad El-Nabulsi & Waranont Anukool, 2022. "New Hille Type and Ohriska Type Criteria for Nonlinear Third-Order Dynamic Equations," Mathematics, MDPI, vol. 10(21), pages 1-12, November.
    8. Taher S. Hassan & Martin Bohner & Iambor Loredana Florentina & Amir Abdel Menaem & Mouataz Billah Mesmouli, 2023. "New Criteria of Oscillation for Linear Sturm–Liouville Delay Noncanonical Dynamic Equations," Mathematics, MDPI, vol. 11(23), pages 1-9, December.
    9. 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.
    10. Taher S. Hassan & Clemente Cesarano & Loredana Florentina Iambor & Amir Abdel Menaem & Naveed Iqbal & Akbar Ali, 2024. "New Oscillation Criteria for Sturm–Liouville Dynamic Equations with Deviating Arguments," Mathematics, MDPI, vol. 12(10), pages 1-11, May.
    11. 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.
    12. Osama Moaaz & Clemente Cesarano & Barakah Almarri, 2023. "An Improved Relationship between the Solution and Its Corresponding Function in Fourth-Order Neutral Differential Equations and Its Applications," Mathematics, MDPI, vol. 11(7), pages 1-14, April.
    13. Hail S. Alrashdi & Wedad Albalawi & Ali Muhib & Osama Moaaz & Elmetwally M. Elabbasy, 2024. "Kamenev-Type Criteria for Testing the Asymptotic Behavior of Solutions of Third-Order Quasi-Linear Neutral Differential Equations," Mathematics, MDPI, vol. 12(11), pages 1-16, June.
    14. Osama Moaaz & Mona Anis & Dumitru Baleanu & Ali Muhib, 2020. "More Effective Criteria for Oscillation of Second-Order Differential Equations with Neutral Arguments," Mathematics, MDPI, vol. 8(6), pages 1-13, June.
    15. Osama Moaaz & Belgees Qaraad & Rami Ahmad El-Nabulsi & Omar Bazighifan, 2020. "New Results for Kneser Solutions of Third-Order Nonlinear Neutral Differential Equations," Mathematics, MDPI, vol. 8(5), pages 1-12, May.

    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:12:y:2024:i:6:p:824-:d:1355211. 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.