Some new statements of inverse problems of recognition

The inverse problems are examined the solutions of which can are reduced to the solution of the integral equation of the first kind with an inexact kernel and inexact right part. Such inverse problems sometimes are called as problems of recognition [I, 21. In some cases the solution of such problems is senseless in traditional statement [3,4]. In the given work two new statements of inverse problem of recognition are offered. The possible method of their solutions that is based on Tikhonov´s method regularization with a choice of special mathematical models of researched process is suggested. The questions of existence and stability of the approximate solutions to the small variations of the initial data are considered here. The opportunities of the specified statements are demonstrated on test examples.