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

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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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     author = {V. V. Palin and E. V. Radkevich},
     title = {Behavior of stabilizing solutions of the {Riccati} equation},
     journal = {Trudy Seminara im. I.G. Petrovskogo},
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     year = {2016},
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     url = {http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a5/}
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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/