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Information × Registration Number 0221U102600, 0118U000098 , R & D reports Title Geometrical and Topological Problems of the Modern Mapping Theory popup.stage_title Head Sevostyanov Yevgen O., Доктор фізико-математичних наук Registration Date 06-02-2021 Organization Zhytomyr Ivan Franko State University popup.description2  We have proved theorems on boundary behavior of Q-mappings on metric spaces in terms of prime ends, and theorems on local and boundary behavior of inverse Q-mappings in metric space. We obtained new results on extreme problems for finding the maxima of one invariant functional in the case of five free poles on a complex plane (in dimension more than 2). We are solved extreme problems for functionals consisting of the products of the inner radii of domains in cases when the free poles are located "near" the corresponding rays. We obtained a generalization of the method for studying the solutions of differential equations by analyzing the properties of Gateaux differential functions on subspaces of commutative algebras associated with these equations in the case of systems of differential equations with partial derivatives having constant and variable coefficients. Product Description popup.authors Іlkevich Natalia S Zinovchuk Andrey V Pogoruy Anatoly O Skvortsov Sergiy O Targonska Iryna I Tarhonskyi Andrii L popup.nrat_date 2021-02-06 Close