Geodesic
On Expansions of Solutions of Riccati's Equation in Asymptotic Series
Matematičeskie zametki, Tome 110 (2021) no. 1, pp. 131-142

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We consider scalar real Riccati equations with coefficients expanding in convergent power series in a neighborhood of infinity. Continued solutions of such equations are studied. Power geometry methods are used to obtain conditions for expanding these solutions in asymptotic series.
Mots-clés : Riccati equation
Keywords: extended solution, power geometry, Newton polygon, asymptotic series. 
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     author = {V. S. Samovol},
     title = {On {Expansions} of {Solutions} of {Riccati's} {Equation} in {Asymptotic} {Series}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {131--142},
     publisher = {mathdoc},
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     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_110_1_a11/}
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V. S. Samovol. On Expansions of Solutions of Riccati's Equation in Asymptotic Series. Matematičeskie zametki, Tome 110 (2021) no. 1, pp. 131-142. http://geodesic.mathdoc.fr/item/MZM_2021_110_1_a11/