IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v333y2018icp490-505.html
   My bibliography  Save this article

Equations with infinite delay: Numerical bifurcation analysis via pseudospectral discretization

Author

Listed:
  • Gyllenberg, Mats
  • Scarabel, Francesca
  • Vermiglio, Rossana

Abstract

We address the problem of the numerical bifurcation analysis of general nonlinear delay equations, including integral and integro-differential equations, for which no software is currently available. Pseudospectral discretization is applied to the abstract reformulation of equations with infinite delay to obtain a finite dimensional system of ordinary differential equations, whose properties can be numerically studied with well-developed software. We explore the applicability of the method on some test problems and provide some numerical evidence of the convergence of the approximations.

Suggested Citation

  • Gyllenberg, Mats & Scarabel, Francesca & Vermiglio, Rossana, 2018. "Equations with infinite delay: Numerical bifurcation analysis via pseudospectral discretization," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 490-505.
    • Handle: RePEc:eee:apmaco:v:333:y:2018:i:c:p:490-505
    DOI: 10.1016/j.amc.2018.03.104
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318302856
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.03.104?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 search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Afoukal, Abdallah & El Attaouy, Meryem & Ezzinbi, Khalil, 2024. "On the almost periodic and almost automorphic solution for linear renewal equations with infinite delay via reduction principle," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

    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:eee:apmaco:v:333:y:2018:i:c:p:490-505. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.