Asymptotic expansions of solutions to the Riccati equation

DOI10.1134/S1064562420010196zbMath1486.34047OpenAlexW3028105745MaRDI QIDQ2243699

V. S. Samovol

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562420010196

zbMATH Keywords

Newton polygonRiccati equationasymptotic seriespower geometryextendable solution

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (1)

On convergent series expansions for solutions of nonlinear ordinary differential equations

Cites Work

• Unnamed Item
• Asymptotic analysis of solutions to a Riccati equation
• On convergent series expansions of solutions of the Riccati equation
• Asymptotic behaviour and expansions of solutions of an ordinary differential equation
• On asymptotic forms of solutions to the Riccati equation

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