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Information × Registration Number 0221U104070, 0118U003390 , R & D reports Title The constructive methods of analysis of matrix boundary value problems for the ordinary systems of differential, algebraic-differential and functional-differential equations and the theory of approximation. popup.stage_title Head Chuiko Serhii M., Доктор фізико-математичних наук Registration Date 02-03-2021 Organization The State Higher Educational Institution "Donbas State Pedagogical University" popup.description2  During 2018-2020, research was aimed at solving current problems of the theory of boundary value problems and the theory of approximation of functions of real and complex variables. In particular, the following results were obtained: modified iterative schemes for finding solutions of nonlinear matrix boundary value problems are constructed; the classification of matrix boundary value problems taking into account the cases of parametric resonance is widespread; improved classification of differential-algebraic equations; the best approximations of the generating nuclei of spaces of holomorphic functions are investigated; the properties of the sieve operator F. Wiener are investigated; the properties of Lebesgue spaces with variable exponent and Orlicz spaces from the point of view of approximation in the metrics of these spaces are investigated; important approximation characteristics of sets of images of diagonal operators in spaces of numerical sequences are calculated. Product Description popup.authors Dziuba Maryna V. Zuev Oleksandr L. Nesmelova Olga V. Savchuk Viktor V. Sysoev Denis V. Chaichenko Stanislav O. Chuiko Olena V. popup.nrat_date 2021-03-02 Close