On role of Riccati equation in the theory of transonic gas-dynamic flows
Matematičeskoe modelirovanie, Tome 2 (1990) no. 9, pp. 105-113.

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The article is devoted to theTricomi problem, the generalized Tricomi problem and the Francl problem, which arise in the mathematical models of transonic flows. By using Riccati equation the uniqueness theorems of classical solutions were proved for these mathematical problems.
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     author = {N. Yu. Kapustin and K. B. Sabitov},
     title = {On role of {Riccati} equation in the theory of transonic gas-dynamic flows},
     journal = {Matemati\v{c}eskoe modelirovanie},
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N. Yu. Kapustin; K. B. Sabitov. On role of Riccati equation in the theory of transonic gas-dynamic flows. Matematičeskoe modelirovanie, Tome 2 (1990) no. 9, pp. 105-113. http://geodesic.mathdoc.fr/item/MM_1990_2_9_a8/