IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2024y2024i1n6682607.html

Oscillation of Fourth‐Order Nonlinear Semi‐Canonical Neutral Difference Equations via Canonical Transformations

Author

Listed:
  • P. Ganesan
  • G. Palani
  • John R. Graef
  • E. Thandapani

Abstract

The authors present a new technique for transforming fourth‐order semi‐canonical nonlinear neutral difference equations into canonical form. This greatly simplifies the examination of the oscillation of solutions. Some new oscillation criteria are established by comparison with first‐order delay difference equations. Examples are provided to illustrate the significance and novelty of the main results. The results are new even for the case of nonneutral difference equations.

Suggested Citation

  • P. Ganesan & G. Palani & John R. Graef & E. Thandapani, 2024. "Oscillation of Fourth‐Order Nonlinear Semi‐Canonical Neutral Difference Equations via Canonical Transformations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2024(1).
    • Handle: RePEc:wly:jnlaaa:v:2024:y:2024:i:1:n:6682607
    DOI: 10.1155/2024/6682607
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2024/6682607
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2024/6682607?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. Ramasamy Vimala & Ramasamy Kodeeswaran & Robert Cep & Majella Jenvi Ignatia Krishnasamy & Meenakshi Awasthi & Govindasamy Santhakumar, 2023. "Oscillation of Nonlinear Neutral Delay Difference Equations of Fourth Order," Mathematics, MDPI, vol. 11(6), pages 1-13, March.
    2. Ravi P. Agarwal & Said R. Grace & Donal O’Regan, 2000. "Oscillation Theory for Difference and Functional Differential Equations," Springer Books, Springer, number 978-94-015-9401-1, October.
    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. Tongxing Li & Chenghui Zhang & Guojing Xing, 2012. "Oscillation of Third‐Order Neutral Delay Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Tongxing Li & Yuriy V. Rogovchenko, 2014. "Oscillatory Behavior of Second‐Order Nonlinear Neutral Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Tongxing Li & Yuriy V. Rogovchenko, 2014. "Asymptotic Behavior of Higher‐Order Quasilinear Neutral Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Simona Fišnarová & Robert Mařík, 2014. "On Eventually Positive Solutions of Quasilinear Second‐Order Neutral Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Zhen-Lai Han & Yi-Bing Sun & Yan Zhao & Dian-Wu Yang, 2014. "Oscillation Criteria for Certain Even Order Neutral Delay Differential Equations with Mixed Nonlinearities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Mustafa Kemal Yildiz & Emrah Karaman & Hülya Durur, 2011. "Oscillation and Asymptotic Behaviour of a Higher‐Order Nonlinear Neutral‐Type Functional Differential Equation with Oscillating Coefficients," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    7. Tongxing Li & Yuriy V. Rogovchenko, 2014. "Oscillation Theorems for Second‐Order Nonlinear Neutral Delay Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    8. Zeqing Liu & Yuguang Xu & Shin Min Kang & Young Chel Kwun, 2012. "Bounded Oscillation of a Forced Nonlinear Neutral Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    9. Haihua Liang & Gen-qiang Wang, 2012. "Oscillation Criteria of Certain Third‐Order Differential Equation with Piecewise Constant Argument," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).

    More about this item

    Statistics

    Access and download statistics

    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:wly:jnlaaa:v:2024:y:2024:i:1:n:6682607. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.