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Mathematical Modeling pp 205–217Cite as

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

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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.

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Author information

Authors and Affiliations

  1. Computing Center of Russian Academy of Sciences, Moscow, 117967, Russia

    Nadezhda B. Konyukhova

  2. Moscow State University of Technology “STANKIN”, Moscow, 101472, Russia

    Alexander I. Sukov

Authors
  1. Nadezhda B. Konyukhova
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  2. Alexander I. Sukov
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Editor information

Editors and Affiliations

  1. Moscow State University of Technology “STANKIN”, Moscow, Russia

    Ludmila A. Uvarova

  2. Moscow Pedagogical University, Moscow, Russia

    Anatolii V. Latyshev

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© 2001 Springer Science+Business Media New York

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Konyukhova, N.B., Sukov, A.I. (2001). Smooth Lyapunov Manifolds and Correct Mathematical Simulation of Nonlinear Singular Problems in Mathematical Physics. In: Uvarova, L.A., Latyshev, A.V. (eds) Mathematical Modeling. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3397-6_21

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  • DOI: https://doi.org/10.1007/978-1-4757-3397-6_21

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-3371-3

  • Online ISBN: 978-1-4757-3397-6

  • eBook Packages: Springer Book Archive

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