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Information × Registration Number 0209U005258, 0108U011261 , R & D reports Title Methods for solving boundary value problems with non-classical conditions for partial differential equations popup.stage_title Head Kalenyuk Petro Ivanovych, Доктор фізико-математичних наук Registration Date 28-01-2009 Organization Lviv Polytechnic National University popup.description2 There have been obtained the conditions of existence of unique weak solution of the hyperbolic variational inequality with initial conditions without any restrictions on a behaviuor at infinity of the solution, the right-hand side of the inequality and the initial data; there have been applied the Differential-symbol method for constructing the solutions of the problem with integral condition for the linear homogeneous PDE of first order in time and infinite order in spatial variables; there have been established the conditions of existence and uniqueness of the solution of the nonlocal multipoint problem for Poisson equation in unit multidimensional cube; there have been established the conditions of existence and uniqueness of the solutions of the problems with nonlocal integral conditions for PDE, there have been used a metric approach for lower estimating of small denominators that appear while constructing the solutions of the problems mentioned above; there have been constructed the mathematicalmodel of the demand node, whose elements are simple blocks (the turboset with an individual step-up power transformer). On the base of this model, there have been proposed a method of computing the voltage of the mentioned demand node; there have been analysed the possibility of applying the multiparameter aggregational-iterational methods for solving the integral eguations that appear in the problems of diagnostics and nondestructive control of the conducting materials. Product Description popup.authors popup.nrat_date 2020-04-02 Close