IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/361989.html
   My bibliography  Save this article

Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse

Author

Listed:
  • Rauf Kh. Amırov
  • A. Adiloglu Nabıev

Abstract

In this study some inverse problems for a boundary value problem generated with a quadratic pencil of Sturm-Liouville equations with impulse on a finite interval are considered. Some useful integral representations for the linearly independent solutions of a quadratic pencil of Sturm-Liouville equation have been derived and using these, important spectral properties of the boundary value problem are investigated; the asymptotic formulas for eigenvalues, eigenfunctions, and normalizing numbers are obtained. The uniqueness theorems for the inverse problems of reconstruction of the boundary value problem from the Weyl function, from the spectral data, and from two spectra are proved.

Suggested Citation

  • Rauf Kh. Amırov & A. Adiloglu Nabıev, 2013. "Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, April.
    • Handle: RePEc:hin:jnlaaa:361989
    DOI: 10.1155/2013/361989
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2013/361989.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2013/361989.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/361989?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:jnlaaa:361989. 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.