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Information × Registration Number 0211U009427, 0107U001236 , R & D reports Title Modelling, stability and stabilization of the dynamical systems with random structure popup.stage_title Head Yasynskyy Volodymyr Kyrylovych, Registration Date 16-12-2011 Organization Yuri Fedkovych Chernivtsi National University popup.description2 It was investigated the stability of diffusion stochastic functional differential equations with Markov parameters, obtained conditions for the existence and uniqueness of strong solutions of stochastic differential-functional equations with integral contractors, received a stabilization, stability and control of stochastic diffusion of random dynamical systems with external structure of Markov switching; studied stochastic differential Ito-Skorokhod equations in Hilbert space (existence, uniqueness, stability) received terms of uniform convergence with probability unit wavelet expansions of random processes with Orlich spaces of random variables, the conditions of uniform convergence with probability unit sub-Gaussian wavelet expansions of random processes, and applied the theory of random sub-Gaussian processes for evaluating the accuracy and reliability modeling of Gaussian processes studied uniform convergence with probability unit wavelet decomposition of a class of Gaussian random processes, and evaluation conducted by the incomplete data of generalized solutions of linear elliptic equations admitting a mixed variational formulation, evaluation of solutions of linear functionals elliptic equations with completely unknown right-hand sides, learned a new class of systems of variational equations and Minimax estimation of functional values of the unknown right-hand sides of linear elliptic equations of 2nd order; investigated the existence and uniqueness of strong solution of stochastic integro-differential Volterra equations with Skorokhod integral; exponential behavior in the mean square of the solution of stochastic differential-difference equations of neutral type and asymptotic stability in mean square of the solution of stochastic differential-difference equations of neutral type with integral on Poisson measure. Product Description popup.authors Антонюк Світлана Володимирівна Береза Віталій Юрійович Горбатенко Микола Юрійович Дарійчук Ілля Васильович Дорошенко Ірина Вікторівна Козаченко Юрій Васильович Королюк Вололдимир Семенович Курінна Світлана Іллівна Лукашів Тарас Олегович Малик Ігор Володимирович Мусурівський Віктор Іванович Нікітін Анатолій Володимирович Юрченко Ігор Валерійович Ясинський Володимир Кирилович popup.nrat_date 2020-04-02 Close