About Solving of an Ill-posed Problem for a Nonlinear Differential Equation by Means of the Projection Regularization Method

Abstract

A retrospective  inverse problem for a semi-linear differential equation is studied. The projection regularization method  with the choice of the regularization parameter by means of M.M. Lavrentiev scheme is used to find a stable approximate solution to the ill-posed problem under consideration. An explicit evaluation of inaccuracy of this method was measured on one of the cases of robustness.