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Information × Registration Number 0214U003844, 0112U001205 , R & D reports Title Analytical and approximate methods for solving boundary value problems for differential equations in bounded and unbounded domains popup.stage_title Head Kalenyuk Petro Ivanovych, Доктор фізико-математичних наук Registration Date 04-03-2014 Organization Lviv Polytechnic National University popup.description2 We investigate interpolation operator polynomials in abstract spaces. We establish necessary and sufficient conditions for the interpolation operator polynomials Newton-type first, second and third degrees on a countable set of interpolation nodes without requiring execution of the substitution rule. For a homogeneous partial differential equation of second order in time and , in general, of infinite order in the spatial coordinate we found classes for existence and uniqueness of the solution of the problem with inhomogeneous integral temporal conditions. We investigate different classes of bilateral operator inequalities and bilateral iterative methods for non-monotonic operators. Found sufficient conditions for the convergence of general the aggregation-iterative algorithms for solving operator equations. We investigate perturbation of Dirichlet operators from a given set. Establish completeness of the eigenfunctions of the perturbed problem . The results have been implemented while developing some special courses for students of the universities as well as for mathematical modelling the important physical processes in nonhomogeneous media.5481 Product Description popup.authors Іванець Надія Андріївна Ільків Володимир Степанович Артемюк Василь Юрійович Баранецький Ярослав Омелянович Бобик Ігор Омелянович Волянська Ірина Ігорівна Демків Ігор Іванович Дяченко Ірина Іванівна Каленюк Петро Іванович Когут Ігор Васильович Мединський Ігор Павлович Нитребич Зіновій Миколайович Обшта Анатолій Феліксович Пелех Ярослав Миколайович Пукач Петро Ярославович Сохан Петро Львович Шувар Богдан Антонович popup.nrat_date 2020-04-02 Close