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On asymptotic forms of solutions to the Riccati equation

Article type: Research Article

Authors: Samovol, V.S.; *

Affiliations: National Research University Higher School of Economics, Moscow, Russia. E-mail: 555svs@mail.ru

Correspondence: [*] Corresponding author. E-mail: 555svs@mail.ru.

Abstract: We study the Riccati equation with coefficients having power asymptotic forms in a neighbourhood of infinity. Also, we examine the solutions to these equations and describe their asymptotic forms.

Keywords: Riccati equation, continuable solution, power geometry, Newton polygon, asymptotic form

DOI: 10.3233/ASY-191534

Journal: Asymptotic Analysis, vol. 115, no. 3-4, pp. 223-239, 2019

Published: 7 November 2019
Price: EUR 27.50
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