IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/5099060.html
   My bibliography  Save this article

Existence of Solutions of Boundary Value Problem for Nonlinear One-Dimensional Wave Equations by Fixed Point Method

Author

Listed:
  • Daba Meshesha Gusu
  • Megersa Danu
  • Abdullahi Yusuf

Abstract

In this article, we investigate the solutions for a class of initial boundary value problems for nonlinear one-dimensional wave equations using a fixed point method. The findings consider initial and boundary data which lead to determining the nature of classes of the nonlinear one-dimensional wave equation. The obtained results indicate the availability of nonnegative solutions which are proved using the method of the fixed point. A new fixed point approach is effective and used as a definitive modeling method to prove the existence of nonnegative solutions for a class of initial boundary value problems based on recent theoretical arguments. The results in this study are considered with examples.

Suggested Citation

  • Daba Meshesha Gusu & Megersa Danu & Abdullahi Yusuf, 2022. "Existence of Solutions of Boundary Value Problem for Nonlinear One-Dimensional Wave Equations by Fixed Point Method," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-12, August.
    • Handle: RePEc:hin:jnlmpe:5099060
    DOI: 10.1155/2022/5099060
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/mpe/2022/5099060.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/mpe/2022/5099060.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/5099060?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
    ---><---

    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:hin:jnlmpe:5099060. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.