Analogue of Bitsadze--Samarskii problem for a~class of parabolic-hyperbolic equation of second kind
Ufa mathematical journal, Tome 7 (2015) no. 1, pp. 31-45

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In this work we prove the unique solvability of a Bitsadze–Samarskii problem for a degenerate parabolic-hyperbolic equation of second kind, when on the first and second part of characteristics Bitsadze–Samarskii condition is imposed.
Keywords: degenerate parabolic-hyperbolic equation, equation of second kind, non-local problems, Bitsadze–Samarskii condition, unique solvability, maximum principle, Fredholm integral equation.
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N. B. Islamov. Analogue of Bitsadze--Samarskii problem for a~class of parabolic-hyperbolic equation of second kind. Ufa mathematical journal, Tome 7 (2015) no. 1, pp. 31-45. http://geodesic.mathdoc.fr/item/UFA_2015_7_1_a3/