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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 1, Pages 251–261
DOI: https://doi.org/10.33048/semi.2023.20.020 (Mi semr1584) 		 
Differentical equations, dynamical systems and optimal control

On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points

M. V. Korovinaa, H. A. Matevossianbc

a Lomonosov Moscow State University, Russia, 119992, Moscow, Leninskie Gory, 1
b Federal Research Center "`Computer Science and Control"', Russian Academy of Sciences, Russia, 119333, Moscow, Vavilov str., 40-42, R374
c Moscow Aviation Institute (National Research University), Russia, 125993, Moscow, Volokolamskoe Shosse, 4
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DOI: https://doi.org/10.33048/semi.2023.20.020
Abstract: We consider the problem of obtaining asymptotics for solutions of differential operators in a neighborhood of an irregular singular point; more precisely, the construction of uniform asymptotics for solutions of linear differential equations with second-order meromorphic coefficients in a neighborhood of a singular point. Examples are also given that confirm the relevance of the results obtained in the theory of equations of mathematical physics.
Keywords: Second-order differential operator, meromorphic coefficients, singular points.
Received April 15, 2022, published March 9, 2023
Document Type: Article
UDC: 517.95
MSC: 35B40, 34M05, 35J05
Language: Russian
Citation: M. V. Korovina, H. A. Matevossian, “On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points”, Sib. Èlektron. Mat. Izv., 20:1 (2023), 251–261
Citation in format AMSBIB
\Bibitem{KorMat23}
\by M.~V.~Korovina, H.~A.~Matevossian
\paper On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 1
\pages 251--261
\mathnet{http://mi.mathnet.ru/semr1584}
\crossref{https://doi.org/10.33048/semi.2023.20.020}
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