About problem of Cauchy for linear hyperbolic system of the equations with zero generalized Laplace invariants

In the work it is shown that the solution of the generalised problem of Cauchy for linear hyperbolic system of equations with zero generalized Laplace invariants is reduced to the solution of a problem of Gursa for system of the same kind. The exact solution of a problem of Cauchy for one two-componental system of the equations is constructed.