Geodesic
Asymptotic expansions of solutions to the Riccati equation
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 490 (2020), pp. 59-62

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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. 
@article{DANMA_2020_490_a12,
     author = {V. S. Samovol},
     title = {Asymptotic expansions of solutions to the {Riccati} equation},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {59--62},
     publisher = {mathdoc},
     volume = {490},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_490_a12/}
}
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V. S. Samovol. Asymptotic expansions of solutions to the Riccati equation. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 490 (2020), pp. 59-62. http://geodesic.mathdoc.fr/item/DANMA_2020_490_a12/