IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v143y2021ics0960077920309097.html
   My bibliography  Save this article

A singular boundary value problem for evolution equations of hyperbolic type

Author

Listed:
  • Assanova, Anar T.
  • Uteshova, Roza E.

Abstract

This paper deals with a problem of finding a bounded in a strip solution to a system of second order hyperbolic evolution equations, where the matrix coefficient of the spatial derivative tends to zero as t→∓∞. The problem is studied under assumption that the coefficients, the right-hand side of the system, and the boundary function belong to some spaces of functions continuous and bounded with a weight. By introducing new unknown functions, the problem in question is reduced to an equivalent problem consisting of singular boundary value problems for a family of first order ordinary differential equations and some integral relations. Existence conditions are established for a bounded in a strip solutions to a family of ordinary differential equations, whose matrix tends to zero as t→∓∞ and the right-hand side is bounded with a weight. Conditions for the existence of a unique solution to the original problem are obtained.

Suggested Citation

  • Assanova, Anar T. & Uteshova, Roza E., 2021. "A singular boundary value problem for evolution equations of hyperbolic type," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309097
    DOI: 10.1016/j.chaos.2020.110517
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077920309097
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2020.110517?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.

    References listed on IDEAS

    as
    1. Kumar, Dipankar & Seadawy, Aly R. & Haque, Md. Rabiul, 2018. "Multiple soliton solutions of the nonlinear partial differential equations describing the wave propagation in nonlinear low–pass electrical transmission lines," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 62-76.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Assanova, Anar T. & Uteshova, Roza, 2022. "Solution of a nonlocal problem for hyperbolic equations with piecewise constant argument of generalized type," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

    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:eee:chsofr:v:143:y:2021:i:c:s0960077920309097. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-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.