The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point
Journal Article
·
· Sbornik. Mathematics
- Chelyabinsk State University, Chelyabinsk (Russian Federation)
- Urals State University, Ekaterinburg (Russian Federation)
The initial value problem for a system of nonlinear ordinary differential equations with a small parameter multiplying the highest derivative is investigated. In a neighbourhood of the initial point the asymptotic behaviour of the solution has quite a complicated structure. A uniform asymptotic approximation to the solution up to an arbitrary power of the small parameter is constructed and substantiated. Bibliography: 3 titles.
- OSTI ID:
- 21301183
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 1 Vol. 201; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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