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Singular Integral Equations

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Cover of 'Singular Integral Equations'

Table of Contents

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    Book Overview
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    Chapter 1 The Hölder Condition
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    Chapter 2 Integrals of the Cauchy Type
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    Chapter 3 Some Corollaries on Cauchy Integrals
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    Chapter 4 Cauchy Integrals near ends of the Line of Integration
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    Chapter 5 The Hilbert and Riemann-Hilbert Boundary Problems
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    Chapter 6 Singular Integral Equations with Cauchy Type Kernels (Case of Contours)
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    Chapter 7 The Dirichlet Problem
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    Chapter 8 Various Representations of Holomorphic Functions by Cauchy and Analogous Integrals
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    Chapter 9 Solution of the Generalized Riemann-Hilbert- Poincaré Problem
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    Chapter 10 The Hilbert Problem in the Case of Arcs or Discontinuous Boundary Conditions
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    Chapter 11 Inversion Formulae for Arcs
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    Chapter 12 Effective Solution of Some Boundary Problems of the Theory of Harmonic Functions
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    Chapter 13 Effective Solution of the Principal Problems of the Static Theory of Elasticity for the Half- Plane, Circle and Analogous Regions
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    Chapter 14 Singular Integral Equations for the Case of Arcs and Continuous Coefficients
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    Chapter 15 Singular Integral Equations in the case of Discontinuous Coefficients
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    Chapter 16 Application to the Dirichlet and Similar Problems
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    Chapter 17 Solution of the Integro-Differential Equation of the theory of Aircraft Wings of Finite Span
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    Chapter 18 The Hilbert Problem for Several Unknown Functions
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    Chapter 19 Systems of Singular Integral Equations with Cauchy type Kernels and Some Supplements
Attention for Chapter 5: The Hilbert and Riemann-Hilbert Boundary Problems
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Chapter title
The Hilbert and Riemann-Hilbert Boundary Problems
Chapter number 5
Book title
Singular Integral Equations
Published by
Springer, Dordrecht, January 1958
DOI 10.1007/978-94-009-9994-7_5
Book ISBNs
978-9-40-099996-1, 978-9-40-099994-7
Authors

N. I. Muskhelishvili

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