REGULARIZATION OF THE SOLUTION TO THE HAMMERSTEIN OPERATOR EQUATION OF THE FIRST KIND WITH AN APPROXIMATELY SPECIFIED OPERATOR

Abstract

A class of nonlinear operator equations of the first kind is investigated in the Hilbert space. An approximate solution is constructed that is stable with respect to the initial data of the problems. The convergence of the approximate solution to the exact solution of the original equation is proved. The regularization parameters of the errors are selected.