IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/956402.html
   My bibliography  Save this article

Asymptotic Estimates of the Solution of a Restoration Problem with an Initial Jump

Author

Listed:
  • Duisebek Nurgabyl

Abstract

The asymptotic behavior of the solution of the singularly perturbed boundary value problem is examined. The derivations prove that a unique pair exists, in which components and satisfy the equation and boundary value conditions . The issues of limit transfer of the perturbed problem solution to the unperturbed problem solution as a small parameter approaches zero and the existence of the initial jump phenomenon are studied. This research is conducted in two stages. In the first stage, the Cauchy function and boundary functions are introduced. Then, on the basis of the introduced Cauchy function and boundary functions, the solution of the restoration problem is obtained from the position of the singularly perturbed problem with the initial jump. Through this process, the formula of the initial jump and the asymptotic estimates of the solution of the considered boundary value problem are identified.

Suggested Citation

  • Duisebek Nurgabyl, 2014. "Asymptotic Estimates of the Solution of a Restoration Problem with an Initial Jump," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, April.
    • Handle: RePEc:hin:jnljam:956402
    DOI: 10.1155/2014/956402
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2014/956402.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2014/956402.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/956402?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:jnljam:956402. 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.