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Information × Registration Number 0218U000280, 0115U003230 , R & D reports Title Analytical and Approximate Methods of Investigation for New Classes of Evolutionary Continuous and Discrete Systems popup.stage_title Head Petryshyn Roman Ivanovych, Registration Date 24-01-2018 Organization Yuri Fedkovych Chernivtsi National University popup.description2 The existence and uniqueness of the solution of nonlocal boundary value problem for multifrequency systems of differential equations are established and the averaging method for multifrequency systems with linearly transformed arguments and multipoint and integral conditions is grounded. There was built the family of recursive constructions, which gives the possibility to include several arbitrary undirected triangular embeddings of an arbitrary complete graph in the minimal undirected embedding of complete graph with any arbitrary value of the power of this graphi in modulus 12. Sufficient conditions for the existence of solution for boundary value problem of integral-differential equations of neutral type are established and sufficient conditions for the convergence of the iterative process for finding the approximate solutions of the linear boundary value problem for integral-differential equations with many delays are obtained. The existence of a substitution of variables that splits a multiparameter linear singularly perturbed system into to a number of independent subsystems is proved. The asymptotic behavior of solutions of nonlinear boundary value problems for systems of partial differential equations is investigated. The theory of the correct solvability of evolution equations with the differentiation operator of infinite order and harmonic oscillator and with functions of such operators in spaces of generalized infinite order functions like ultra-distributions, is developed. Product Description popup.authors Бігун Ярослав Йосипович Городецький Василь Васильович Клевчук Іван Іванович Коржик Володимир Павлович Краснокутська Інесса Володимирівна Мартинюк Ольга Василівна Піддубна Лариса Андріївна Петришин Роман Іванович Черевко Ігор Михайлович popup.nrat_date 2020-04-02 Close