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Matematicheskie Zametki, 2019, Volume 105, Issue 4, Pages 603–615
DOI: https://doi.org/10.4213/mzm11950 (Mi mzm11950) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Convergent Series Expansions of Solutions of the Riccati Equation

V. S. Samovol

National Research University Higher School of Economics, Moscow
Full-text PDF (482 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11950
Abstract: The Riccati equation with coefficients expandable in convergent power series in a neighborhood of infinity are considered. Extendable solutions of such equations are studied. Methods of power geometry are used to obtain conditions for convergent series expansions of these solutions. An algorithm for deriving such series is given.
Keywords: Riccati equation, extendable solution, power geometry, Newton polygon, asymptotic expansion.
Received: 30.01.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 4, Pages 592–603
DOI: https://doi.org/10.1134/S0001434619030325
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: V. S. Samovol, “On Convergent Series Expansions of Solutions of the Riccati Equation”, Mat. Zametki, 105:4 (2019), 603–615; Math. Notes, 105:4 (2019), 592–603
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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