A method of solving inverse problems is proposed, based on the results of a direct dynamic problem of seismicity, presented in the form of recurrent relationships. The equations obtained are suitable for numerical calculations. The methods for determining for earthquake source parameters have been developed. A source of seismic waves modeled by a circular dislocations and source parameters may be found using the recurrent method. It should be noted that wave field values on a free surface are obtained as strict recurrent analytical relations.