IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v33y2025i08ns0218348x25401784.html
   My bibliography  Save this article

Existence And Uniqueness Of Solutions To A Weighted Laplace Equation With Spectral Perturbation Near A Plane Sector Vertex

Author

Listed:
  • HAMZA MEDEKHEL

    (Laboratory of Operator Theory and EDP)

  • RASHID JAN

    (Department of Mathematics, Saveetha School of Engineering (SIMATS), Thandalam, Chennai 600124, Tamil Nadu, India3Institute of Energy Infrastructure (IEI), Department of Civil Engineering College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan IKRAM-UNITEN, 43000 Kajang, Selangor, Malaysia)

  • SALAH BOULAARAS

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia)

  • RAFIK GUEFAIFIA

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia)

  • AHMED HIMADAN

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia)

Abstract

This study investigates the stability and existence of periodic solutions in neutral differential systems with time delays and variable coefficients. Utilizing Krasnoselskii’s fixed point theorem, we demonstrate a set of sufficient conditions ensuring the existences of such a periodic solution. This involves transforming the system into an equivalent integral form before applying the fundamental matrix solutions alongside Floquet theory. In addition, we will analyze the asymptotic stability of these solutions, thus establishing new conditions that can ensure stability. The practical relevance of our theoretical results is supported through numerical examples, validating the proposed approach, and highlighting its suitability in areas such as electrical circuits, control systems, and biological modeling. This study extends previous work and thereby offers a detailed framework intended for use in studying neutral differential systems where time delays are present.

Suggested Citation

  • Hamza Medekhel & Rashid Jan & Salah Boulaaras & Rafik Guefaifia & Ahmed Himadan, 2025. "Existence And Uniqueness Of Solutions To A Weighted Laplace Equation With Spectral Perturbation Near A Plane Sector Vertex," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(08), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:08:n:s0218348x25401784
    DOI: 10.1142/S0218348X25401784
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X25401784
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X25401784?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
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:wsi:fracta:v:33:y:2025:i:08:n:s0218348x25401784. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.