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Information × Registration Number 0308U003064, 0106U001561 , R & D reports Title Asymptotic and algebraic methods in the theory of differential equations and in the control theory popup.stage_title Дослідження задач стабілізації та керованості для деяких систем диференціальних рівнянь Head Skljar G, Registration Date 26-02-2008 Organization Kharkov National University named after V.N.Karazin popup.description2 Report on the Scientific Research: 36 p., 37 ref. Object of the research - ordinary differential equations and partial differential equations. Aim of the research - creation of new analytic and algebraic methods in various fields of the quality theory of differential and functional-differential equations, the optimal control theory for nonlinear and infinite-dimensional systems. Methods of the research - the methods of the general theory of differential equations, the control theory, the functional analysis, algebra. Within the second part of the research: - The question on the strong stabilizability for neutral type systems is studied; - The realizability problem for growth vectors of nonlinear control systems and the problem of normalization of their homogeneous approximations are considered; - The new approach for the study of partial differential equations with discrete and distributed state-dependent nonlinear delays is proposed, the question of existence and stability of their solutions is studied. All results are new, they have theoretical and practical significance. They can be applied in the study of concrete mathematical problems as well as when solving of the problems arising in the mathematical modeling of real processes. The results of the second part of the research are published in 9 works, another 2 works are submitted to mathematical journals. On the basis of the results of the second part of the research 6 contributions for international mathematical conferences are prepared. Within the next part of the research the further investigation of properties of solutions of differential equations by use of asymptotic and algebraic methods is assumed. The results and methods of research can be used in the work of the following scientific organizations: Institute of Mathematics of the National Academy of Sciences of Ukraine, Institute of Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Kharkov, Kiev, Donetsk, Odessa Universities, Institute of Mathematics of the Russian Academy of Sciences, Institute of Applied Mathematics of the Russian Academy of Sciences, Friedrich-Alexander Universitat Erlangen-Nurnberg (Germany), University of Twente (The Netherlands), Szczecin University (Poland), Banach Center (Poland), Universite Paris-7 (France), International School for Advanced Studies (Italy), Ecole Polytechnique (France), Ecole des Mines de Nantes (France). NEUTRAL TYPE SYSTEMS, STRONG STABILIZABILITY, EXPONENTIAL STABILIZABILITY, NONLINEAR CONTROL SYSTEMS, HOMOGENEOUS APPROXIMATION, GROWTH VECTOR, EQUATION WITH DELAY. Terms for receipt of the report: by the agreement. 61077, Kharkov, sqr. Svobody,4, KhNU. Product Description popup.authors popup.nrat_date 2020-04-02 Close