Exact and asymptotic solutions of systems with turning points

V. V. Kucherenko; V. V. Kucherenko

doi:10.1070/IM1987v029n02ABEH000973

Exact and asymptotic solutions of systems with turning points

V. V. Kucherenko, V. V. Kucherenko

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A system of linear ordinary differential equations with analytic coefficients and small parameters on the derivative is considered. In a neighborhood of a turning point a new representation is constructed for the exact solution of the system in the form of a multiphase series. It is proved that this series converges uniformly with respect to the parameter. An expression is obtained for the Stokes constant at the maximal exponential. Bibligraphy: 10 titles.

Original language	English
Pages (from-to)	355-370
Number of pages	16
Journal	Mathematics of the USSR - Izvestija
Volume	29
Issue number	2
DOIs	https://doi.org/10.1070/IM1987v029n02ABEH000973
State	Published - 30 Apr 1987

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N2 - A system of linear ordinary differential equations with analytic coefficients and small parameters on the derivative is considered. In a neighborhood of a turning point a new representation is constructed for the exact solution of the system in the form of a multiphase series. It is proved that this series converges uniformly with respect to the parameter. An expression is obtained for the Stokes constant at the maximal exponential. Bibligraphy: 10 titles.

AB - A system of linear ordinary differential equations with analytic coefficients and small parameters on the derivative is considered. In a neighborhood of a turning point a new representation is constructed for the exact solution of the system in the form of a multiphase series. It is proved that this series converges uniformly with respect to the parameter. An expression is obtained for the Stokes constant at the maximal exponential. Bibligraphy: 10 titles.

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DO - 10.1070/IM1987v029n02ABEH000973

M3 - Artículo

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SP - 355

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JO - Mathematics of the USSR - Izvestija

JF - Mathematics of the USSR - Izvestija

IS - 2

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Exact and asymptotic solutions of systems with turning points

Abstract

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