On some problems in perturbation theory of smooth invariant tori of dynamical systems

Problems related to perturbation theory of smooth invariant tori of dynamical systems in an-dimensional Euclidean spaceR ⁿ are considered. The clarification of these problems plays an important role for perturbation theory suggested by the author in 1] and extends the scope of its application.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 12, pp. 1665–1699, December, 1994.