On the Reconstruction of a Parameter of an Elliptic System

The problem considered consists of the reconstruction (restoration) of a parameter of an elliptic system based on the results of measuring its state. To solve this problem the method of dynamical approximation is used. The method was proposed by A.V. Kryazhimskii and the author, and is based on the ideas of the differential games theory and the ill-posed problems theory. The reconstruction algorithm presented here is stable with respect to the errors of measurements and is fairly constructive