IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i16p2456-d1452565.html
   My bibliography  Save this article

Existence and Nonexistence Results for a Fourth-Order Boundary Value Problem with Sign-Changing Green’s Function

Author

Listed:
  • Nikolay D. Dimitrov

    (Department of Mathematics, University of Ruse, 7017 Ruse, Bulgaria
    These authors contributed equally to this work.)

  • Jagan Mohan Jonnalagadda

    (Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad 500078, India
    These authors contributed equally to this work.)

Abstract

In this paper, we consider a fourth-order three-point boundary value problem. Despite the fact that the corresponding Green’s function changes its sign on the square of its definition, we obtain the existence of at least one positive and decreasing solution under some suitable conditions. The results are based on the classical Krasosel’skii’s fixed point theorem in cones. Then, we impose some sufficient conditions that allow us to deduce nonexistence results. In the end, some examples are given in order to illustrate our main results.

Suggested Citation

  • Nikolay D. Dimitrov & Jagan Mohan Jonnalagadda, 2024. "Existence and Nonexistence Results for a Fourth-Order Boundary Value Problem with Sign-Changing Green’s Function," Mathematics, MDPI, vol. 12(16), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2456-:d:1452565
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/16/2456/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/16/2456/
    Download Restriction: no
    ---><---

    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:12:y:2024:i:16:p:2456-:d:1452565. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.