IDEAS home Printed from https://ideas.repec.org/a/arp/ajoams/2017p8-20.html
   My bibliography  Save this article

Oscillation of Second-Order Nonlinear Mixed Neutral Dynamic Equations with Non Positive Neutral Term on Time Scales

Author

Listed:
  • H. A. Agwa

    (Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt)

  • Ahmed M. M. Khodier

    (Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt)

  • Heba M. Arafa

    (Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt)

Abstract

In this work, we establish some new oscillation results for the second-order nonlinear mixed neutral dynamic equation where. Our results not only complement and generalize some existing results in [4], but also can be applied to some oscillation problems that do not covered before, we also give some examples to illustrate our main results.

Suggested Citation

  • H. A. Agwa & Ahmed M. M. Khodier & Heba M. Arafa, 2017. "Oscillation of Second-Order Nonlinear Mixed Neutral Dynamic Equations with Non Positive Neutral Term on Time Scales," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 3(2), pages 8-20, 02-2017.
    • Handle: RePEc:arp:ajoams:2017:p:8-20
    DOI: arpgweb.com/?ic=journal&journal=17&info=aims
    as

    Download full text from publisher

    File URL: http://www.arpgweb.com/pdf-files/ajams3(2)8-20.pdf
    Download Restriction: no
    File URL: http://www.arpgweb.com/?ic=journal&journal=17&month=02-2017&issue=2&volume=3
    Download Restriction: no
    File URL: https://libkey.io/arpgweb.com/?ic=journal&journal=17&info=aims?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Tongxing Li & Yuriy V. Rogovchenko, 2015. "Oscillation of second-order neutral differential equations," Mathematische Nachrichten, Wiley Blackwell, vol. 288(10), pages 1150-1162, July.
    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. Shyam Sundar Santra & Omar Bazighifan & Mihai Postolache, 2021. "New Conditions for the Oscillation of Second-Order Differential Equations with Sublinear Neutral Terms," Mathematics, MDPI, vol. 9(11), pages 1-9, May.
    2. Jozef Džurina & Said R. Grace & Irena Jadlovská & Tongxing Li, 2020. "Oscillation criteria for second‐order Emden–Fowler delay differential equations with a sublinear neutral term," Mathematische Nachrichten, Wiley Blackwell, vol. 293(5), pages 910-922, May.
    3. Rongrong Guo & Qingdao Huang & Qingmin Liu, 2021. "Some New Oscillation Criteria of Even-Order Quasi-Linear Delay Differential Equations with Neutral Term," Mathematics, MDPI, vol. 9(17), pages 1-11, August.
    4. Yingzhu Wu & Yuanhong Yu & Jinsen Xiao, 2022. "Oscillation of Second Order Nonlinear Neutral Differential Equations," Mathematics, MDPI, vol. 10(15), pages 1-12, August.
    5. Haifeng Tian & Rongrong Guo, 2024. "Some Oscillatory Criteria for Second-Order Emden–Fowler Neutral Delay Differential Equations," Mathematics, MDPI, vol. 12(10), pages 1-15, May.
    6. George E. Chatzarakis & Said R. Grace & Irena Jadlovská & Tongxing Li & Ercan Tunç, 2019. "Oscillation Criteria for Third-Order Emden–Fowler Differential Equations with Unbounded Neutral Coefficients," Complexity, Hindawi, vol. 2019, pages 1-7, August.
    7. Irena Jadlovská, 2021. "New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations," Mathematics, MDPI, vol. 9(17), pages 1-23, August.
    8. Shyam Sundar Santra & Abhay Kumar Sethi & Osama Moaaz & Khaled Mohamed Khedher & Shao-Wen Yao, 2021. "New Oscillation Theorems for Second-Order Differential Equations with Canonical and Non-Canonical Operator via Riccati Transformation," Mathematics, MDPI, vol. 9(10), pages 1-11, May.
    9. 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.
    10. 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.

    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:arp:ajoams:2017:p:8-20. 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: Managing Editor (email available below). General contact details of provider: http://arpgweb.com/index.php?ic=journal&journal=17&info=aims .

    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.