IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4757-3397-6_21.html
   My bibliography  Save this book chapter

Smooth Lyapunov Manifolds and Correct Mathematical Simulation of Nonlinear Singular Problems in Mathematical Physics

In: Mathematical Modeling

Author

Listed:
  • Nadezhda B. Konyukhova

    (Computing Center of Russian Academy of Sciences)

  • Alexander I. Sukov

    (Moscow State University of Technology “STANKIN”)

Abstract

Several problems in various fields of mathematical physics occur lead to the systems of ordinary differential equations (ODEs) having singularities or being defined on an infinite interval. For different classes of linear and nonlinear ODEs, there are many publications dealing with correct statement of singular boundary value problems (BVPs) and their reduction to the equivalent regular ones (see, e.g., the reviews1, 2). This paper deals with some results of 3–5 obtained in the indicated direction for autonomous systems (ASs) of nonlinear ODEs and their application to singular BVPs arising from hydrodynamics.

Suggested Citation

  • Nadezhda B. Konyukhova & Alexander I. Sukov, 2001. "Smooth Lyapunov Manifolds and Correct Mathematical Simulation of Nonlinear Singular Problems in Mathematical Physics," Springer Books, in: Ludmila A. Uvarova & Anatolii V. Latyshev (ed.), Mathematical Modeling, pages 205-217, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-3397-6_21
    DOI: 10.1007/978-1-4757-3397-6_21
    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

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:978-1-4757-3397-6_21. 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.