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Asymptotic Expansions of Solutions to the Riccati Equation

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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.

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Correspondence to V. S. Samovol.

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Translated by N. Berestova

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Samovol, V.S. Asymptotic Expansions of Solutions to the Riccati Equation. Dokl. Math. 101, 49–52 (2020). https://doi.org/10.1134/S1064562420010196

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  • DOI: https://doi.org/10.1134/S1064562420010196

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