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Information × Registration Number 0217U004238, 0116U004752 , R & D reports Title Qualitative analysis and control of evolutionary systems of the complex structure popup.stage_title Head Perestyuk Mykola Oleksijovych, Доктор фізико-математичних наук Registration Date 25-01-2017 Organization Taras Shevchenko Kiev University popup.description2 New effective methods and theoretical approaches sent to the decision of actual tasks of modern theory of the nonlinear evolutional and stochastic systems are created. We prove a theorem about the asymptotic stability of an invariant torus of a system of differential equations. Were defined new criteria for the existence of invariant manifolds and periodic motions in dynamical systems, also keep records of the amount of subharmonic periodic motions in a mechanical-type systems. Some new approximation methods for solving operator of evolution equations were obtained. The existence of global and pullback- attractors for evolutionary and controlled processes which are generated by solutions three-dimensional systems of hydrodynamic type and evolution inclusions were proved. Theorems on the asymptotic behavior of solutions of linear and weakly nonlinear stochastic systems are well-proven, the conditions regarding limitations of the part of variables for the proof of impulse systems are received, the theorems on the existence of optimal controls of stochastic and dynamical systems were proved, and their properties were studied. Product Description popup.authors Асроров Ф.А. Головащук Н.С. Городній М.Ф. Гриценко Н.В. Кіфоренко І.Б. Капустян О.В. Кириченко В.В. Кучук-Яценко С.В. Лялецький О.О. Мельник Т.А. Парасюк І.О. Перестюк М.О. Петравчук А. П. Садовий Д.Ю. Станжицький О.М. Тимошкевич Т.Д. Трохимчук Т.М. Шкляр Т.Б. popup.nrat_date 2020-04-02 Close