IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i6p937-d368599.html
   My bibliography  Save this article

Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations

Author

Listed:
  • Osama Moaaz

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Jan Awrejcewicz

    (Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, Poland)

  • Ali Muhib

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    Department of Mathematics, Faculty of Education (Al-Nadirah), Ibb University, Ibb P.O. Box 70270, Yemen)

Abstract

By establishing new conditions for the non-existence of so-called Kneser solutions, we can generate sufficient conditions to ensure that all solutions of odd-order equations are oscillatory. Our results improve and expand the previous results in the literature.

Suggested Citation

  • Osama Moaaz & Jan Awrejcewicz & Ali Muhib, 2020. "Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations," Mathematics, MDPI, vol. 8(6), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:937-:d:368599
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/6/937/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/6/937/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Moaaz, Osama & Muhib, Ali, 2020. "New oscillation criteria for nonlinear delay differential equations of fourth-order," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Mansour Alatwi & Osama Moaaz & Wedad Albalawi & Fahd Masood & Hamdy El-Metwally, 2024. "Asymptotic and Oscillatory Analysis of Fourth-Order Nonlinear Differential Equations with p -Laplacian-like Operators and Neutral Delay Arguments," Mathematics, MDPI, vol. 12(3), pages 1-23, February.

    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. Osama Moaaz & Fahd Masood & Clemente Cesarano & Shami A. M. Alsallami & E. M. Khalil & Mohamed L. Bouazizi, 2022. "Neutral Differential Equations of Second-Order: Iterative Monotonic Properties," Mathematics, MDPI, vol. 10(9), pages 1-11, April.
    2. Osama Moaaz & Yousef Alnafisah, 2023. "An Improved Approach to Investigate the Oscillatory Properties of Third-Order Neutral Differential Equations," Mathematics, MDPI, vol. 11(10), pages 1-15, May.
    3. Barakah Almarri & Higinio Ramos & Osama Moaaz, 2022. "New Monotonic Properties of the Class of Positive Solutions of Even-Order Neutral Differential Equations," Mathematics, MDPI, vol. 10(9), pages 1-13, April.
    4. Ghada AlNemer & Waed Muhsin & Osama Moaaz & Elmetwally M. Elabbasy, 2023. "On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order," Mathematics, MDPI, vol. 11(6), pages 1-12, March.
    5. Osama Moaaz & Dumitru Baleanu & Ali Muhib, 2020. "New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    6. 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.
    7. Osama Moaaz & Clemente Cesarano, 2021. "New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their Application," Mathematics, MDPI, vol. 9(16), pages 1-9, August.
    8. Omar Bazighifan & Thabet Abdeljawad, 2020. "Improved Approach for Studying Oscillatory Properties of Fourth-Order Advanced Differential Equations with p -Laplacian Like Operator," Mathematics, MDPI, vol. 8(5), pages 1-11, April.
    9. Bazighifan, Omar, 2020. "On the oscillation of certain fourth-order differential equations with p-Laplacian like operator," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    10. 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.
    11. Barakah Almarri & Osama Moaaz, 2023. "Improved Properties of Positive Solutions of Higher Order Differential Equations and Their Applications in Oscillation Theory," Mathematics, MDPI, vol. 11(4), pages 1-14, February.
    12. 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.
    13. Ali Muhib & Osama Moaaz & Clemente Cesarano & Shami A. M. Alsallami & Sayed Abdel-Khalek & Abd Elmotaleb A. M. A. Elamin, 2022. "New Monotonic Properties of Positive Solutions of Higher-Order Delay Differential Equations and Their Applications," Mathematics, MDPI, vol. 10(10), pages 1-12, May.
    14. 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:8:y:2020:i:6:p:937-:d:368599. 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.