MATHEMATICS

About one mixed problem for the inhomogeneous Hallaire equation

R. Kh. Makaova

Institute of Applied Mathematics and Automation, Nalchik

Abstract: For the inhomogeneous Hallaire equation, a mixed boundary value problem is studied. The existence and uniqueness theorem for a regular solution is proved. An explicit form of the regular solution of the problem under study is written out.

Keywords: inhomogeneous Hallaire equation, mixed problem, regular solution, Fourier method.

UDC: 517.95

Received: 24.06.2022
Revised: 28.06.2022
Accepted: 04.07.2022

DOI: 10.47928/1726-9946-2022-22-2-29-33

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