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

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018 Number 3(23), Pages 36–41 (Mi vkam252)

This article is cited in 1 paper

ANALYSIS, DIFFERENTIAL EQUATIONS AND OPTIMUM CONTROL

On the solving of the A. A. Dezin problem analogue for a second-order mixed-type equation by the Green’s function method

R. A. Kirzhinov

Institute of Applied Mathematics and Automation of Kabardin-Balkar Scientific Centre of RAS, 360000, Kabardino-Balkar Republic, Nalchik, Shortanova st., 89 A, Russia

Abstract: In this paper the A. A. Dezin problem analogue is considered for inhomogeneous parabolic-hyperbolic type equation of the second order. We proved the solution uniqueness of the solution to the problem under investigation. The solution representation is written out by the Green’s function method.

Keywords: Dezin problem analogue, parabolic-hyperbolic type equation, nonlocal boundary conditions.

UDC: 517.956.6

MSC: 35M10

Received: 08.06.2018

DOI: 10.18454/2079-6641-2018-23-3-36-41



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