On the modeling of wave processes in unbounded domains by problem with two-point conditions in time

The wave’s propagation model in an unbounded domain with known values of an unknown function in two moments of time is described by a two-point in time problem for d'Alembert equation. A class of quasipolynomials in which the problem has a unique solution is established. The formula of constructing the solution of the problem is proposed. The example for applying the method is given.