Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 5, Pages 61–65
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-5-9 (Mi vmumm4569) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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Construction of asymptotics of solutions to the Sturm–Liouville differential equations in the class of oscillating coefficients

N. F. Valeeva, È. A. Nazirovab, Ya. T. Sultanaevcd

a Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
b Ufa University of Science and Technology
c Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
d Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-5-9
Abstract: The article is focused on the development of a method allowing one to construct asymptotics for solutions to ODEs of arbitrary order with oscillating coefficients on the semiaxis. The idea of the method is presented on the example of studying the asymptotics of the Sturm–Liouville equation.
Key words: asymptotic methods, Sturm–Liouville equation, oscillating coefficients.
Funding agency Grant number
Russian Science Foundation 23-21-00225
Received: 12.03.2023
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 5, Pages 253–257
DOI: https://doi.org/10.3103/S0027132223050066
Bibliographic databases:
Document Type: Article
UDC: 517.928.1
Language: Russian
Citation: N. F. Valeev, È. A. Nazirova, Ya. T. Sultanaev, “Construction of asymptotics of solutions to the Sturm–Liouville differential equations in the class of oscillating coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 5, 61–65; Moscow University Mathematics Bulletin, 78:5 (2023), 253–257
Citation in format AMSBIB
\Bibitem{ValNazSul23}
\by N.~F.~Valeev, \`E.~A.~Nazirova, Ya.~T.~Sultanaev
\paper Construction of asymptotics of solutions to the Sturm--Liouville differential equations in the class of oscillating coefficients
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 5
\pages 61--65
\mathnet{http://mi.mathnet.ru/vmumm4569}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-5-9}
\elib{https://elibrary.ru/item.asp?id=54669694}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 5
\pages 253--257
\crossref{https://doi.org/10.3103/S0027132223050066}
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    • This publication is cited in the following 2 articles:
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