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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016 Number 1(12), Pages 26–31 (Mi vkam115)

MATHEMATICS

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

R. T. Zunnunova, A. A. Ergashevb

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


 English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2016, 12:1, 21–26

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© Steklov Math. Inst. of RAS, 2024