IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2011y2011i1n927690.html

Oscillation of Second‐Order Neutral Functional Differential Equations with Mixed Nonlinearities

Author

Listed:
  • Shurong Sun
  • Tongxing Li
  • Zhenlai Han
  • Yibing Sun

Abstract

We study the following second‐order neutral functional differential equation with mixed nonlinearities (r(t)|(u(t)+p(t)u(t-σ))′|α-1(u(t)+p(t)u(t-σ)) ′) ′+q0(t) | u(τ0(t))|α−1u(τ0(t))+q1(t) | u(τ1(t))|β−1u(τ1(t))+q2(t) | u(τ2(t))|γ−1u(τ2(t)) = 0, where γ > α > β > 0, ∫t0∞(1/r1/α(t))dt

Suggested Citation

  • Shurong Sun & Tongxing Li & Zhenlai Han & Yibing Sun, 2011. "Oscillation of Second‐Order Neutral Functional Differential Equations with Mixed Nonlinearities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:927690
    DOI: 10.1155/2011/927690
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2011/927690
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2011/927690?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. Zhenlai Han & Tongxing Li & Shurong Sun & Chao Zhang & Bangxian Han, 2011. "Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-26, November.
    2. Zhenlai Han & Tongxing Li & Shurong Sun & Chao Zhang & Bangxian Han, 2011. "Oscillation Criteria for a Class of Second‐Order Neutral Delay Dynamic Equations of Emden‐Fowler Type," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    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. 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).
    2. Tongxing Li & Zhenlai Han & Chenghui Zhang & Hua Li, 2011. "Oscillation Criteria for Second‐Order Superlinear Neutral Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    3. Zhenlai Han & Tongxing Li & Chenghui Zhang & Ying Sun, 2011. "Oscillation Criteria for Certain Second‐Order Nonlinear Neutral Differential Equations of Mixed Type," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(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. Yuangong Sun, 2011. "Interval Oscillation Criteria for Second‐Order Dynamic Equations with Nonlinearities Given by Riemann‐Stieltjes Integrals," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).

    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. Zhenlai Han & Tongxing Li & Chenghui Zhang & Ying Sun, 2011. "Oscillation Criteria for Certain Second‐Order Nonlinear Neutral Differential Equations of Mixed Type," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. Haidong Liu & Cuiqin Ma, 2013. "Oscillation Criteria for Second‐Order Neutral Delay Dynamic Equations with Nonlinearities Given by Riemann‐Stieltjes Integrals," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(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:2011:y:2011:i:1:n:927690. 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.