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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019 Volume 160, Pages 61–73 (Mi into425)
Application of resurgent analysis to the construction of asymptotics of linear differential equations with degeneration in coefficients

M. V. Korovina

Lomonosov Moscow State University

Abstract: This paper is a review of results concerning the construction of asymptotics of solutions to degenerate linear differential equations with holomorphic coefficients. We consider both cases of ordinary and partial differential equations.

Keywords: irregular singular points, resurgent analysis, asymptotics.

UDC: 517.928; 517.955.8

MSC: 34E05; 35C20


 English version: Journal of Mathematical Sciences (New York), 2021, 257:1, 61–73

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© Steklov Math. Inst. of RAS, 2025