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Information × Registration Number 0220U100886, 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., Registration Date 29-01-2020 Organization The State Higher Educational Institution "Donbas State Pedagogical University" popup.description2  Over the 2 stages, the following scientific results were obtained: the conditions for the existence of solutions for a linear matrix differential-algebraic boundary-value problem with impulsive action, for a differential-algebraic boundary-value problem, a linear matrix periodic problem for a system of differential equations with concentrated delay in a critical case were found. Аn improved scheme was proposed studies of autonomous Noetherian boundary value problems for nonlinear systems in critical cases. We also obtained exact values of the basis and Kolmogorov diameters for certain sets of multiplier images in modular Orlicz spaces, proved direct and inverse theorems of approximation theory in terms of best approximations and modules of smoothness of fractional order in spaces of Orlicz type, established exact estimates of Faber polynomials, the norms of Faber operators and L1 the norms of the generating function for a sequence of Faber polynomials of univalent functions of class E, etc. Product Description popup.authors Nesmelova Olga V. Savchuk Viktor V. Chaichenko Stanislav O. Chuiko Olena V. popup.nrat_date 2020-04-02 Close