Systems of Generalized Abel Integral Equations with Applications to Simultaneous Dual Relations.

Abstract

A method is presented for solving certain systems of generalized Abel integral equations by constructing equivalent singular integral equations and their corresponding Riemann boundary value problems. An application is then given to a class of simultaneous dual relations of a type arising in bimedia fracture problems in elasticity and viscoelasticity. The equations discussed in this paper are a generalization of those considered earlier.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA049446

Entities

People

  • J. R. Walton

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Differential Equations
  • Elastic Properties
  • Equations
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Real Variables
  • Scalar Functions

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Game Theory.