Geodesic
Exact and asymptotic solutions of systems with turning points
Izvestiya. Mathematics , Tome 29 (1987) no. 2, pp. 355-370

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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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     author = {V. V. Kucherenko and Yu. V. Osipov},
     title = {Exact and asymptotic solutions of systems with turning points},
     journal = {Izvestiya. Mathematics },
     pages = {355--370},
     publisher = {mathdoc},
     volume = {29},
     number = {2},
     year = {1987},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1987_29_2_a4/}
}
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V. V. Kucherenko; Yu. V. Osipov. Exact and asymptotic solutions of systems with turning points. Izvestiya. Mathematics , Tome 29 (1987) no. 2, pp. 355-370. http://geodesic.mathdoc.fr/item/IM2_1987_29_2_a4/