Geodesic
Behavior of stabilizing solutions of the Riccati equation
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 31 (2016) no. 31, pp. 110-133 Cet article a éte moissonné depuis la source Math-Net.Ru

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Sufficient conditions are found for the existence of stabilizing solutions of the Riccati differential equation $y'=\bigl(y-y_1(x)\bigr)\bigl(y-y_2(x)\bigr)$ with given $y_1(x)$ and $y_2(x)$. For various types of stabilizing solutions, the number of points of extremum is examined. 
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V. V. Palin; E. V. Radkevich. Behavior of stabilizing solutions of the Riccati equation. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 31 (2016) no. 31, pp. 110-133. http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a5/

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