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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 490, Pages 59–62
DOI: https://doi.org/10.31857/S2686954320010191 (Mi danma34) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Asymptotic expansions of solutions to the Riccati equation

V. S. Samovol

National Research University "Higher School of Economics", Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320010191
Abstract: Scalar real Riccati equations with coefficients expandable in convergent power series in a neighborhood of infinity are considered. Extendable solutions to equations of this kind are studied. Methods of power geometry are used to obtain conditions for asymptotic series expansions of these solutions.
Keywords: Riccati equation, extendable solution, power geometry, Newton polygon, asymptotic series.
Presented: B. N. Chetverushkin
Received: 26.11.2019
Revised: 27.11.2019
Accepted: 17.12.2019
English version:
Doklady Mathematics, 2020, Volume 101, Issue 1, Pages 49–52
DOI: https://doi.org/10.1134/S1064562420010196
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: V. S. Samovol, “Asymptotic expansions of solutions to the Riccati equation”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 59–62; Dokl. Math., 101:1 (2020), 49–52
Citation in format AMSBIB
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\by V.~S.~Samovol
\paper Asymptotic expansions of solutions to the Riccati equation
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\vol 490
\pages 59--62
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\crossref{https://doi.org/10.31857/S2686954320010191}
\zmath{https://zbmath.org/?q=an:07424550}
\elib{https://elibrary.ru/item.asp?id=42579062}
\transl
\jour Dokl. Math.
\yr 2020
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\issue 1
\pages 49--52
\crossref{https://doi.org/10.1134/S1064562420010196}
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