Systems of Generalized Abel Integral Equations.

Abstract

A method is presented for solving systems of generalized Abel integral equations by reduction to equivalent coupled Riemann-Hilbert boundary value problems. It is demonstrated how the Riemann system may be uncoupled and closed form solutions computed. An application is then given to solving certain simultaneous dual relations which arise in bimedia fracture problems in elasticity. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 17, 1977
Accession Number
ADA050001

Entities

People

  • J. R. Walton
  • M. Lowengrub

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Elastic Properties
  • Equations
  • Integral Equations
  • Integrals
  • Linear Differential Equations
  • Notation
  • Scalar Functions
  • Scientific Research
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Military History