IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-17845-0_7.html
   My bibliography  Save this book chapter

Methods of Solution of Sturm-Liouville Equations, Direct and Inverse Problems

In: Methods of Mathematical Physics

Author

Listed:
  • Alexey N. Karapetyants

    (Southern Federal University, Institute of Mathematics, Mechanics and Computer Sciences and Regional Mathematical Center)

  • Vladislav V. Kravchenko

    (Cinvestav-IPN, Campus Queretaro, Department of Mathematics)

Abstract

In the previous chapter we saw that the Sturm-Liouville equation naturally arises when solving partial differential equations by the Fourier method of separation of variables. Applications of the Sturm-Liouville equation are not limited to the Fourier method. It is one of the most important mathematical equations. Up to now no formula for its general solution in a closed form is known, unlike the case of a linear differential equation of first order.

Suggested Citation

  • Alexey N. Karapetyants & Vladislav V. Kravchenko, 2022. "Methods of Solution of Sturm-Liouville Equations, Direct and Inverse Problems," Springer Books, in: Methods of Mathematical Physics, chapter 0, pages 131-183, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-17845-0_7
    DOI: 10.1007/978-3-031-17845-0_7
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-3-031-17845-0_7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.