IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2012y2012i1n489353.html

Monotonic Positive Solutions of Nonlocal Boundary Value Problems for a Second‐Order Functional Differential Equation

Author

Listed:
  • A. M. A. El-Sayed
  • E. M. Hamdallah
  • Kh. W. El-kadeky

Abstract

We study the existence of at least one monotonic positive solution for the nonlocal boundary value problem of the second‐order functional differential equation x′′(t) = f(t, x(ϕ(t))), t ∈ (0,1), with the nonlocal condition ∑k=1makx(τk)=x0, x′(0)+∑j=1nbjx′(ηj)=x1, where τk ∈ (a, d)⊂(0,1), ηj ∈ (c, e)⊂(0,1), and x0, x1 > 0. As an application the integral and the nonlocal conditions ∫adx(t)dt=x0, x′(0) + x(e) − x(c) = x1 will be considered.

Suggested Citation

  • A. M. A. El-Sayed & E. M. Hamdallah & Kh. W. El-kadeky, 2012. "Monotonic Positive Solutions of Nonlocal Boundary Value Problems for a Second‐Order Functional Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:489353
    DOI: 10.1155/2012/489353
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/489353
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/489353?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. Gennaro Infante & J. R. L. Webb, 2003. "Positive solutions of some nonlocal boundary value problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2003(18), pages 1047-1060.
    2. Gennaro Infante & J. R. L. Webb, 2003. "Positive solutions of some nonlocal boundary value problems," Abstract and Applied Analysis, Hindawi, vol. 2003, pages 1-14, January.
    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.

      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:2012:y:2012:i:1:n:489353. 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.