IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i8p1131-d1372780.html
   My bibliography  Save this article

Existence of Periodic Solutions for Second-Order Ordinary p -Laplacian Systems

Author

Listed:
  • Shaomin Wang

    (School of Mathematics and Computer, Dali University, Dali 671003, China)

  • Cunji Yang

    (School of Mathematics and Computer, Dali University, Dali 671003, China)

  • Guozhi Cha

    (School of Engineering, Dali University, Dali 671003, China
    Pen-Tung Sah Institute of Micro-Nano Science and Technology, Xiamen University, Xiamen 361102, China)

Abstract

In this paper, we study the variational principle and the existence of periodic solutions for a new class of second-order ordinary p -Laplacian systems. The variational principle is given by making use of two methods. We obtain three existence theorems of periodic solutions to this problem on various sufficient conditions on the potential function F ( t , x ) or nonlinearity ∇ F ( t , x ) . Four examples are presented to illustrate the feasibility and effectiveness of our results.

Suggested Citation

  • Shaomin Wang & Cunji Yang & Guozhi Cha, 2024. "Existence of Periodic Solutions for Second-Order Ordinary p -Laplacian Systems," Mathematics, MDPI, vol. 12(8), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:8:p:1131-:d:1372780
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/8/1131/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/8/1131/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Lv, Xiang, 2018. "Existence of periodic solutions for a class of second-order p-Laplacian systems," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 515-519.
    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.

      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:8:p:1131-:d:1372780. 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: 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.