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Information × Registration Number 0213U007273, 0112U000241 , R & D reports Title Development of the methods of analysis dynamic behavior of nonlinear mechanical systems with complex types of trajertories and perturbations popup.stage_title Head Martynyuk Anatolii Andreevich, Registration Date 22-05-2013 Organization S.P.Timoshenko Institute of Mechanics popup.description2 Sufficient conditions of Lyapunov stability and practical stability are established for solutions of a set of perturbed motion equations generated by the interval initial conditions. To this end locally large scalar Lyapunov functions are applied. A quasilinear system and linear nonautonomous system are considered as an example. The problem on stability investigation of zero equilibrium state of quasilinear differential second order equations and sets of linear systems of quasilinear differential second order equations is reduced to stability investigation of the equilibrium state of an evolution equation in Banach space. Product Description popup.authors Іванов Ігор Львович Лук'янова Тетяна Олександрівна Мартинок-Чернієнко Юлія Анатоліївна Мартинюк Анатолій Андрійович Нікітіна Неллі Володимирівна Расшивалова Світлана Миколаївна Слинько Віталій Іванович Хорошун Анатолій Сергійович Чернецька Лариса Миколаївна popup.nrat_date 2020-04-02 Close