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Information × Registration Number 0311U003118, 0106U000518 , R & D reports Title Methods of research of decisions of periodic tasks popup.stage_title Методи дослідження розв'язків періодичних задачі Head Eremenko Valery Oleksandrovich, Registration Date 28-01-2011 Organization Ternopol National Economic University popup.description2 Object of research - the periodic problems for the second order hyperbolic equations; the singular systems of linear ordinary differential equations and positive difference and differential equations. Objective - analysis and comparison of existing methods of finding solutions to periodic problems. Development of a new method of constructing periodic solutions of singular systems of ordinary differential equations. Application of numerical-analytical methods for solving some problems of mathematical physics. Research Methods - the method of characteristics, the methods of qualitative theory of differential equations, functional analysis, Lyapunov methods of stability and building control. Results and their novelty - the conditions of solvability and formulas of exact solutions of the periodic boundary value problems for linear and quasi-linear the second order hyperbolic equations are established, the new scheme for investigation of uninterrupted solutions of nonlinear boundary value problems are given; the sufficient conditions for the existence of periodic and quasi-periodic solutions of singular systems of linear ordinary differential equations are obtained; the algebraic methods of stabilisation and stability of differential and difference systems. All results are new. Product Description popup.authors Алілуйко Андрій Миколайович Хома-Могильська Світлана Григорівна popup.nrat_date 2020-04-02 Close