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Information × Registration Number 0223U002987, 0120U000234 , R & D reports Title Asymptotic behavior of solutions of equations with aftereffect and mathematical methods in applied research popup.stage_title Head Sliusarchuk Vasyl Yukhymovych, Доктор фізико-математичних наук Registration Date 22-03-2023 Organization National University of Water and Environmental Engineering popup.description2  The object of research: oscillations in systems with an aftereffect and their stability. The subject of research: stability and oscillations criteria of solutions of equations with aftereffect. The purpose: development of new methods for researching а stability of solutions of nonlinear evolutionary equations and reversibility of operators described by differential-functional equations and application of research results to solving problems of celestial mechanics, mechanics, approximate calculations, geometry and in the educational process. Research methods: methods of nonlinear functional analysis and theory of dynamic systems; methods of uniform approximation of functions; projection-iterative method, method of trigonometric series, application of Deblin's ergodic theorem for aperiodic Markov chains, principles of maximum and monotonicity. The main tasks: to obtain new conditions of instability of nonlinear dynamic systems described by equations with aftereffect. Product Description popup.authors Ivashchuk Yakiv Grygorovych Deyneka Oleg Yu. Dubchak Inna V. Kushnir Valentina Petrivna Kushnir Olexandr O. Samolyuk Iryna Vasylivna Sluysarchuk Vasyl Yu. Tadeev Petro Oleksandrovich Tsetsyk Svitlana popup.nrat_date 2023-03-22 Close