Skip to main content
SpringerLink
Log in

Singular Integral Equations

Boundary problems of functions theory and their applications to mathematical physics

  • Book
  • © 1958

Overview

Authors:
  1. N. I. Muskhelishvili

    1. Institute of Mathematics Tiflis, USSR

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (19 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Fundamental Properties of Cauchy Integrals

    1. The Hölder Condition

      • N. I. Muskhelishvili
      Pages 7-21

    2. Integrals of the Cauchy Type

      • N. I. Muskhelishvili
      Pages 22-55

    3. Some Corollaries on Cauchy Integrals

      • N. I. Muskhelishvili
      Pages 56-72

    4. Cauchy Integrals near ends of the Line of Integration

      • N. I. Muskhelishvili
      Pages 73-85

  3. The Hilbert and the Riemann-Hilbert Problems and Singular Integral Equations (Case of Contours)

    1. The Hilbert and Riemann-Hilbert Boundary Problems

      • N. I. Muskhelishvili
      Pages 86-112

    2. Singular Integral Equations with Cauchy Type Kernels (Case of Contours)

      • N. I. Muskhelishvili
      Pages 113-162

  4. Applications to Some Boundary Problems

    1. The Dirichlet Problem

      • N. I. Muskhelishvili
      Pages 163-186

    2. Various Representations of Holomorphic Functions by Cauchy and Analogous Integrals

      • N. I. Muskhelishvili
      Pages 187-201

    3. Solution of the Generalized Riemann-Hilbert- Poincaré Problem

      • N. I. Muskhelishvili
      Pages 202-226

  5. The Hilbert Problem in the case of Arcs or Discontinuous Boundary Conditions and Some of its Applications

    1. The Hilbert Problem in the Case of Arcs or Discontinuous Boundary Conditions

      • N. I. Muskhelishvili
      Pages 227-248

    2. Inversion Formulae for Arcs

      • N. I. Muskhelishvili
      Pages 249-260

    3. Effective Solution of Some Boundary Problems of the Theory of Harmonic Functions

      • N. I. Muskhelishvili
      Pages 261-281

    4. Effective Solution of the Principal Problems of the Static Theory of Elasticity for the Half- Plane, Circle and Analogous Regions

      • N. I. Muskhelishvili
      Pages 282-322

  6. Singular Integral Equations for the case of Arcs or Discontinuous Coefficients and Some of their Applications

    1. Singular Integral Equations for the Case of Arcs and Continuous Coefficients

      • N. I. Muskhelishvili
      Pages 323-355

    2. Singular Integral Equations in the case of Discontinuous Coefficients

      • N. I. Muskhelishvili
      Pages 356-358

    3. Application to the Dirichlet and Similar Problems

      • N. I. Muskhelishvili
      Pages 359-372

    4. Solution of the Integro-Differential Equation of the theory of Aircraft Wings of Finite Span

      • N. I. Muskhelishvili
      Pages 373-379

  7. The Hilbert Problem for Several Unknown Functions and Systems of Singular Integral Equations

    1. Front Matter

      Pages 380-380
      Download chapter PDF

    2. The Hilbert Problem for Several Unknown Functions

      • N. I. Muskhelishvili
      Pages 381-414
Back to top

Keywords

About this book

In preparing this translation for publication certain minor modifications and additions have been introduced into the original Russian text, in order to increase its readibility and usefulness. Thus, instead of the first person, the third person has been used throughout; wherever possible footnotes have been included with the main text. The chapters and their subsections of the Russian edition have been renamed parts and chapters respectively and the last have been numbered consecutively. An authors and subject index has been added. In particular, the former has been combined with the list of references of the original text, in order to enable the reader to find quickly all information on anyone reference in which he may be especially interested. This has been considered most important with a view to the difficulties experienced outside Russia in obtaining references, published in that country. Russian names have been printed in Russian letters in the authors index, in order to overcome any possible confusion arising from transliteration.

Authors and Affiliations

  • Institute of Mathematics Tiflis, USSR

    N. I. Muskhelishvili

Bibliographic Information

  • Book Title: Singular Integral Equations

  • Book Subtitle: Boundary problems of functions theory and their applications to mathematical physics

  • Authors: N. I. Muskhelishvili

  • DOI: https://doi.org/10.1007/978-94-009-9994-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Wolters-Noordhoff Publishing 1958

  • Softcover ISBN: 978-94-009-9996-1Published: 25 December 2011

  • eBook ISBN: 978-94-009-9994-7Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIV, 441

  • Topics: Integral Equations, Classical Mechanics

Publish with us

Policies and ethics

Back to top

Search

Navigation