Linear Discontinuous Boundary Problems in the Theory of Functions, Singular Integral Equations, and Some of Their Applications,

Abstract

The Gamma denote a finite set of mutually non-intersecting Lyaponov curves, and the operator S(theta)=(1/i(pi)) the integral over gamma of (phi(tau)/(tau-t))d(tau). This book deals with (i) the properties of S and allied integral equations, (ii) its application to the Riemann-Privalov problem, (iii) its application to the Riemann-Hilbert problem, etc. The feature of this book is the extension of the results in N. I. Muskhelishvili's 'Singular Integral Equations', Noordhoff 1953, to kernels of certain Lebesgue classes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1971
Accession Number
AD0728245

Entities

People

  • B. V. Hvedelidze
  • E. E. Burniston

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Equations
  • Integral Equations
  • Integrals
  • Language
  • Russian Language

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Graph Algorithms and Convex Optimization.
  • Wave Propagation and Nonlinear Chaotic Dynamics.