Dudzyanyj S. Stability of invariant toruses of impulsive systems.

The dissertation is devoted to incestion of stability problen of invariant toruses of impulsive systems. The thesis consits of the introduction, there chapters, conclusions and list of references.In the first chapter of this dissertation the basic theorems of a direct Lyapunov’s method of research of stadility of invariant toruses are obtained. The ides of feezing method are considered and conditions when they can be applied to research of stability problem of invariant toruses are established. The exisitence avd uniqueness theorem of an fixed-singn Lyapunov’s function under condition of existence asymptotically stable trivial invial invariant torus is proved with the help of Green-Samoilenko’s function method.