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Matematicheskie Zametki, 2021, Volume 110, Issue 1, Pages 131–142
DOI: https://doi.org/10.4213/mzm12681 (Mi mzm12681) 		 
On Expansions of Solutions of Riccati's Equation in Asymptotic Series

V. S. Samovol

National Research University "Higher School of Economics", Moscow
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DOI: https://doi.org/10.4213/mzm12681
Abstract: We consider scalar real Riccati equations with coefficients expanding in convergent power series in a neighborhood of infinity. Continued solutions of such equations are studied. Power geometry methods are used to obtain conditions for expanding these solutions in asymptotic series.
Keywords: Riccati equation, extended solution, power geometry, Newton polygon, asymptotic series.
Received: 23.01.2020
English version:
Mathematical Notes, 2021, Volume 110, Issue 1, Pages 135–144
DOI: https://doi.org/10.1134/S0001434621070142
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: V. S. Samovol, “On Expansions of Solutions of Riccati's Equation in Asymptotic Series”, Mat. Zametki, 110:1 (2021), 131–142; Math. Notes, 110:1 (2021), 135–144
Citation in format AMSBIB
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