V. S. Samovol, “Asymptotic expansions of solutions to the Riccati equation”, Dokl. RAN. Math. Inf. Proc. Upr., 2020, Volume 490,Pages <nobr>59

This article is cited 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

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.

UDC: 517.91

Presented: B. N. Chetverushkin
Received: 26.11.2019
Revised: 27.11.2019
Accepted: 17.12.2019

DOI: 10.31857/S2686954320010191