Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift

Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift

by Georgii S. Litvinchuk

Paperback(Softcover reprint of the original 1st ed. 2000)

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Overview

Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift by Georgii S. Litvinchuk

This book is devoted to the solvability theory of characteristic singular integral equations and corresponding boundary value problems for analytic functions with a Carleman and non-Carleman shift. The defect numbers are computed and the bases for the defect subspaces are constructed. Applications to mechanics, physics, and geometry of surfaces are discussed. The second part of the book also contains an extensive survey of the literature on closely related topics. While the first part of the book is also accessible to engineers and undergraduate students in mathematics, the second part is aimed at specialists in the field.

Product Details

ISBN-13: 9789401058773
Publisher: Springer Netherlands
Publication date: 10/10/2012
Series: Mathematics and Its Applications Series , #523
Edition description: Softcover reprint of the original 1st ed. 2000
Pages: 378
Product dimensions: 6.30(w) x 9.45(h) x 0.03(d)

Table of Contents

Introduction. 1. Preliminaries. 2. Binomial boundary value problems with shift for a piecewise analytic function and for a pair of functions analytic in the same domain. 3. Carleman boundary value problems and boundary value problems of Carleman type. 4. Solvability theory of the generalized Riemann boundary value problem. 5. Solvability theory of singular integral equations with a Carleman shift and complex conjugated boundary values in the degenerated and stable cases. 6. Solvability theory of general characteristic singular integral equations with a Carleman fractional linear shift on the unit circle. 7. Generalized Hilbert and Carleman boundary value problems for functions analytic in a simply connected domain. 8. Boundary value problems with a Carleman shift and complex conjugation for functions analytic in a multiply connected domain. 9. On solvability theory for singular integral equations with a non-Carleman shift. References. Subject index.

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