Integral forecasting operators and identification of hydrogen permeability models

The book describes methods for solving problems of predicting the phase state of nonlinear dynamic systems, evaluating functionals based on solutions of systems with a delay, and parametric identification of undefined models of hydrogen permeability of structural materials with nonlinear dynamic boundary conditions. Models of thermodesorption dehydrogenation in the form of boundary-value problems with a free boundary of the phase transition are presented. The methodology of forecasting and identification is based on the use of integral operators for processing input data and the technique of conjugate tasks.