R. T. Zunnunov, A. A. Ergashev, “The problem with shift for an equation of mixed type of the second kind in an unbounded domain”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, Number 1(12),Pages <nobr>26

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MATHEMATICS

The problem with shift for an equation of mixed type of the second kind in an unbounded domain

R. T. Zunnunov^a, A. A. Ergashev^b

^a Institute of Earthquake Engineering, Academy of Sciences of Uzbekistan, 100125, Uzbekistan, Tashkent, Akademgorodok, Durmonyuli str., 31
^b Kokand State Pedagogical Institute. Muqimiy, 113000, Uzbekistan, Kokand, st. Amir Temur, 37

Abstract: In this paper, in the mixed area, which is part of the elliptical vertical half-strip, non-local task, in which the nonlocal conditions associated pointwise values of the fractional derivative of the unknown function at the points of a boundary characteristics.

Keywords: the problem with displacement, uniqueness and existence of solutions, mixed-type equation of the second kind, singular integral equations, unbounded domain.

UDC: 517.956

MSC: 35M10

Received: 01.03.2016

DOI: 10.18454/2079-6641-2016-12-1-26-31