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

Nadezhda B. Konyukhova and Alexander I. Sukov
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Nadezhda B. Konyukhova: Computing Center of Russian Academy of Sciences
Alexander I. Sukov: Moscow State University of Technology “STANKIN”

A chapter in Mathematical Modeling, 2001, pp 205-217 from Springer

Abstract: 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.

Keywords: Arbitrary Real Number; Finite Point; Infinite Interval; Hyperbolic Equilibrium; Nonlinear ODEs (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-3397-6_21

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DOI: 10.1007/978-1-4757-3397-6_21

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