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

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2019 Volume 28, Number 3, Pages 6–15 (Mi vkam356)

This article is cited in 4 papers

MATHEMATICS

A boundary value problem with displacement for a model equation of a parabolic-hyperbolic type of the third order

V. A. Vogahova, A. Kh. Balkizova

Kabardino-Balkarian State University, 360005, Nalchik, Chernishevskogo st., 175, Russia

Abstract: In this paper, a boundary value problem for a model inhomogeneous mixed parabolic-hyperbolic type equation of third order is investigated. A theorem on uniqueness and the existence of a regular solution of the problem under investigation is proved. The solution of the investigated problem is written out in an explicit form.

Keywords: mixed type equation, Aller equation, third-order equation with multiple characteristics, Tricomi method.

UDC: 517.95

MSC: 35M12

DOI: 10.26117/2079-6641-2019-28-3-6-15



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