  The generating functionals (GF) method in Bogolyubov's formulation and its
application for particle physics is considered. Effectiveness of the method is
illustrated by two examples. So, GF method can be used as the technical trick
solving the infinite sequence of algebraic equations. We will consider the
example, where GF allows express the multiplicity distributions (topological
cross sections) through the particles correlation functions (inclusive cross
sections) to `predict' so called the Koba-Nielsen-Olesen scaling. We will use
the GF to define validity of the thermal description of the multiple production
phenomena also. It will be seen that this will lead to the `correlations
relaxation condition' of N.N.Bogolyubov. This will allow to offer the
experimentally measurable criteria of applicability of thermodynamical
description of multiple production processes. In results we will find the
closed form of perturbation theory applicable for kinetic phase of
nonequilibrium processes. It is shown a way as the approach may be adapted to
the definite external conditions.
