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We consider the problems of correct finding of normal quasi solutions of operator equations whose operator is a superposition of linear and nonlinear operators. The nonlinear operator is a modulo operation. In the case where the linear operator is completely continuous, we establish sufficient conditions for the regularization parameter guaranteeing the convergence of the solution of regularized problem to the quasisolution of the exact operator equation depending on the error of the linear operator of the problem. Keywords: problems with free phase, nonlinear operator, quasisolutions, normal quasisolution, method of regularization, convergence of the method., Introduction The investigations of the problems connected with the properties of solutions to nonlinear problems of the theory of synthesis of antennas closely related to the so-called phase problem were [...]