The method of application of nonlinear evolution operators for solution of dynamical systems

The solution of many technical, physical and mathematical problems is closely related to the study of nonlinear equations and systems. A description of these processes contributed to the establishment and development of systems theory, the development of the mathematical apparatus of the “input-output” using the nonlinear evolution operators. The nonlinear evolution operators of the first and the second multiplicities are dealt in this paper. The method of their application for solution of dynamical systems with generalized characteristics is described. This method is based on the algorithm of constructing asymptotically inverse nonlinear evolution operators.