MATHEMATICS

The boundary value problem for third order equation of parabolic–hyperbolic type

R. Kh. Makaova

Institute of Applied Mathematics and Automation, 89А Shortanova St., Nalchik, 360000, Russia

Abstract: In this paper we study the boundary value problem for third order equation of parabolic-hyperbolic type. The existence and uniqueness theorem of a regular solution is proved. The solution to the problem under study was found explicitly.

Keywords: equation of parabolic-hyperbolic type, Hallaire equation, Tricomi method.

UDC: 517.95

MSC: Primary 35L25; Secondary 35L80

DOI: 10.26117/2079-6641-2019-28-3-26-31