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Метод операторов преобразования и краевые задачи для сингулярных эллиптических уравнений by Valeriy V Katrakhov; Sergey M Sitnik is a nonfiction available to read on EtoBox.

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The main content of this book is composed from two doctoral theses: by V. V. Katrakhov (1989) and by S. M. Sitnik (2016). In our work, for the first time in the format of a monograph, we systematically expound the theory of transmutation operators and their applications to differential equations with singularities in coefficients, in particular, with Bessel operators. Along with detailed survey and bibliography on this theory, the book contains original results of the authors. Significant part of these results is published with detailed proofs for the first time. In the first chapter, we give historical background, necessary notation, definitions, and auxiliary facts. In the second chapter, we give the detailed theory of Sonin and Poisson transmutations. In the third chapter, we describe an important special class of the Buschman-Erde ́lyi transmutations and their applications. In the fourth chapter, we consider new weighted boundary-value problems with Sonin and Poisson transmutations. In the fifth chapter, we consider applications of the Buschman-Erde ́lyi transmutations of special form to new boundary-value problems for elliptic equations with significant singularities of soluti

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Author

Valeriy V Katrakhov; Sergey M Sitnik

Publisher

Peoples' Friendship University of Russia

Published

2018

Language

RU

Category

nonfiction

Subjects

Medical, Mathematics, Differential Equations