Inverse nonstationary problem of scattering for a hyperbolic system of n equations of the first order on a semiaxis

In connection with a joint study of n-1 problems with diverse boundary conditions we construct a scattering operator for a hyperbolic system on a semiaxis for the case of n-1 incident and one scattered wave. The possibility of the unique recovery of the coefficients of the system with respect to the scattering operator is shown.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 12, pp. 1638–1646, December, 1991.