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.