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Information × Registration Number 0304U004084, 0103U004227 , R & D reports Title Properties of evolution problems with implicit differential equations and the applications popup.stage_title Кратна коректність виродженої задачі Коші. Властивості розв'язків деяких класів функціонально-диференціальних рівнянь Head Rutkas A., Registration Date 20-03-2004 Organization Kharkov National University named after V.N.Karazin popup.description2 Investigation object - evolution equations in Banach and Hilbert spaces, in particular, degenerate linear differential equations of higher order, implicit non-stationary differential equations with delay. Work purpose - to obtain theorems of existence and uniqueness of solutions, to introduce different types of correctness and to obtain correctness conditions, to describe a set of initial vectors and functions (the case of a delay equation), to apply abstract results to partial differential equation Investigation methods - the spectral theory of non-self-adjoint operators and operator sheaves, Laplace transform method in a Banach space and analytic properties of a resolvent of corresponding operator functions (operator sheaves) , local Laplace transform method, a contour integration method with convergence factors, Phragmen-Lindelцf principle, theory of infinite determinants, theory of ideals of compact operators. Product Description popup.authors popup.nrat_date 2020-04-02 Close