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  • Ескіз
    Документ
    Application of the averaging method to some optimal control problems
    (2013) Mogileva, Victoria; Stanzhytskyi, O.; Tkachuk, Alla
    An optimal control problem for non-linear differential equations system with small parameter has been considered. To the study of such problems the application of the averaging method is justified.
  • Ескіз
    Документ
    Invariant Sets of Ito Stochastic Systems
    (2013) Stanzhytskyi, O.; Mogileva, Victoria; Tkachuk, Alla
    Розглянуто систему стохастичних рівнянь Іто зі сталими Вінерівськими процесами. Для неї знайдено умови, при яких множина нулів функції Ляпунова є її інваріантною множиною. Ito stochastic system with scalar Wiener processes is considered. Authors have obtained conditions when a set of zeros of Liapunov function is its invariant set.
  • Ескіз
    Документ
    The Existence of Liapunov's function for the invariant manifolds differential equations
    (2006) Tkachuk, Alla; Mogileva, Victoria
    In this work is received the result about the relation between invariant sets of systems of differential equations and the Lyapunov’s function.