An L2-Theory of Dual Integral Equations.

Abstract

Dual integral equations with different types of kernels arise in the mixed boundary value problems of the mathematical theory of elasticity. A unified theory for the equations, whose solutions are square integrable functions, is developed in this paper. The solution is determined as the intersection of two linear manifolds in a Hilbert space. The theory is illustrated by a few simple examples.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1976
Accession Number
ADA023977

Entities

People

  • R. P. Srivastav

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Elastic Properties
  • Equations
  • Hilbert Space
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space