Abstract. The complex of problems related to constructing three-dimensional field of elastic dynamic displacement of flat elastic plate with arbitrary boundary-edge surface is solved. It is assumed that boundary condition of the plate is given in terms of powerful perturbation factors or displacement vector function. Problems solutions are based on classical Lame equations of spatial theory of elasticity under root meen-square consistency of the solution with corresponding external-dynamic observations of the plate. The accuracy of such consistency is estimated. The uniqueness conditions for the solution of the considered problems are formulated.

Keywords: spatially distributed dynamical systems, spatial problems of elasticity theory, pseudoinversion, thick elastic plates.