On convergent series expansions of solutions of the Riccati equation

DOI10.1134/S0001434619030325zbMath1419.34062OpenAlexW2944128024WikidataQ127900566 ScholiaQ127900566MaRDI QIDQ2314128

V. S. Samovol

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619030325

zbMATH Keywords

asymptotic expansionNewton polygonRiccati equationpower 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)

Related Items (4)

On the solutions of ordinary differential equations in the form of Dulac series ⋮ On convergent series expansions for solutions of nonlinear ordinary differential equations ⋮ Asymptotic expansions of solutions to the Riccati equation ⋮ On asymptotic series expansions of solutions to the Riccati equation

Cites Work

• Asymptotic integration of the Riccati equation by methods of power geometry
• Asymptotic behaviour and expansions of solutions of an ordinary differential equation

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