On an optimal control problem

In this paper, we applied the finite differences method to the solution of variational problem of an inverse problem for the Scrِdinger equation with a final functional. These types of problems arise in various fields in quantum-mechanical, nuclear physics and modern physics [2, 11]. Also, we prove two estimates for the differences scheme and convergence speed of difference approximations according to the functional. The inverse problems for the Schrِdinger equation having different variational formulation were investigated in [7, 12, 13].