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JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2015 Volume 7, Issue 1, Pages 31–45 (Mi ufa270)

This article is cited in 7 papers

Analogue of Bitsadze–Samarskii problem for a class of parabolic-hyperbolic equation of second kind

N. B. Islamov

Tashkent State University of Economics, Uzbekistan str., 49, 100003, Tashkent, Uzbekistan

Abstract: 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.

UDC: 517.956

MSC: 35L75, 35М10,35L35, 34B53

Received: 12.07.2014


 English version:
Ufa Mathematical Journal, 2015, 7:1, 31–45

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© Steklov Math. Inst. of RAS, 2024