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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 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
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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.
Bibliographic databases:
Document Type: Article
UDC: 517.928; 517.955.8
MSC: 34E05; 35C20
Language: Russian
Citation: M. V. Korovina, “Application of resurgent analysis to the construction of asymptotics of linear differential equations with degeneration in coefficients”, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 160, VINITI, Moscow, 2019, 61–73
Citation in format AMSBIB
\Bibitem{Kor19}
\by M.~V.~Korovina
\paper Application of resurgent analysis to the construction of asymptotics of linear differential equations with degeneration in coefficients
\inbook Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17,
St. Petersburg Polytechnic University, July 24-28, 2017
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 160
\pages 61--73
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into425}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3981831}
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