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Information × Registration Number 0212U004253, 0109U002237 , R & D reports Title The investigation of new classes of differential-operator equations and their applications popup.stage_title Head Petryshyn Roman, Registration Date 01-02-2012 Organization Yuri Fedkovych Chernivtsi National University popup.description2 The proof of existence of solution of systems of differential-functional equations with linearly transformed argument and multipoint or integral conditions. The averaging method over the fast variables for multifrequensy systems with delay, parameters and fixed or non-fixed points in time is obtained. Properties of a matriciant of a linear system with impulsive effects occurring at fixed times is studied. We study the invariant tori of linear and non-linear countable systems of differential difference equations defined on infinite-dimensiond tori and containing an infinite set of constant different-sign deviations of a scalar argument. We investigate approximation of element with delay in in the case of continuous input function. The approximation scheme for initial problems of nonlinear differential-difference equation by solutions of Cauchy problem for systems of ordinary differential equations is constructed and researched. The minimal embeddings of complete graphs and 1-immersions of graphs in two-dimensional surfaces are considered, where a special attention is paid to constructing nonisomorphic minimal embeddings of complete graphs and constructing 1-immersions of complete graphs with the aim of finding the 1-chromatic number of a surface. Methods of constructing nonisomorphic orientable biembeddings of cyclic Steiner triple systems are developed. We show that there are infinitely many minimal graphs that have no 1-immersions in the plane. Product Description popup.authors Бігун Ярослав Йосипович Коржик Володимир Павлович Піддубна Лариса Андріївна Петришин Роман Іванович Самойленко Анатолій Михайлович Спіжавка Дмитро Іванович Теплінський Юрій Володимирович popup.nrat_date 2020-04-02 Close