RUS  ENG
Full version
JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive

Tr. Inst. Mat., 2019 Volume 27, Number 1-2, Pages 44–52 (Mi timb302)

Statement of border tasks on the plane dependent on the coefficients for the type of the wave equation. III

V. I. Korzyuka, I. S. Kozlovskajab, S. N. Naumavetsc

a Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk
b Belarusian State University, Minsk
c Brest State Technical University

Abstract: This paper is a continuation of [1, 2] under the general title. In the half-strip on the plane of two independent variables, boundary value problems for a second-order hyperbolic equation with constant coefficients are considered, whose operator represents a composition of first-order operators. The simplest problems are considered where Cauchy and Dirichlet conditions are attached at the boundary of the domain. We consider the correct problems, the solutions of which in an analytical form are presented.

UDC: 517.958

Received: 20.09.2018



© Steklov Math. Inst. of RAS, 2024