On convergence of a finite difference scheme to solution of the third boundary value problem for a system of abstract elliptic equations

There is considered the third boundary value problem for abstract elliptic equations. The problem of stability of solutions to a system of elliptic equations on a restricted domain by non-smooth perturbations of the boundary of this domain is studied. There are proposed a difference scheme for an approximate solution of the considered problem and the conditions for the convergence of solutions of this scheme to the exact solution of the problem.