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Information × Registration Number 0200U003567, 0197U015781 , R & D reports Title Analytical methods in the theory of differential equations popup.stage_title Head Cklyar G.M., Registration Date 08-06-2000 Organization Kharkov National University named after V.N. Karazin popup.description2 The object of the reseach - the differential equations The main goal of this work is creation and development of analytical methods for solving problems arising in the theory of differential equations, the control theory and kinetic tyheory of multi- particle systems. In this project we : investigate linear and nonlinear time - optimal control problems using the method of the moment min-problem; introduce the algebraic approach to classify of nonlinear control systems; obtain criteria for astabilizability of evolutionary systems of PDE's on domains unbounded with respect to space variables; obtain conditions for well-posedness of nonlocal boundary - value problems for PDE's and pseudo-differential equations; construct new classes of approximate solutions of the kinetic Bryan- Pidduck equation and the nonlinear Boltzmann equation; construct new classes of uniqueness for PDE's with variable coefficients; investigate extremal properties of ana lytic functions. All the results are new. Product Description popup.authors popup.nrat_date 2020-04-03 Close