  The system of Lama's equations is investigated, describing the motion of the
elastic media under subsonic, transonic and supersonic velocities of the moving
source of distributions, and its decisions in space of generalized
vector-functions. The questions are considered connected with arising shock
waves, which appear in ambience under supersonic source of distributions. On
base of the generalized functions theories the method of the determination of
the conditions on gaps of the decisions and their derivatives on shock waves
fronts is offered.
