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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

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Head

Martynyuk Anatolii Andreevich,

Registration Date

22-05-2013

Organization

S.P.Timoshenko Institute of Mechanics

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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

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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

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2020-04-02