A Bifurcation Theorem for Potential Operators.

Abstract

A general bifurcation theorem for potential operators is proved. It describes the possible behavior of the set of solutions of an operator equation as a function of the eigenvalue parameter in a neighborhood of the bifurcation point. The theorem applies in particular to buckling problems in elasticity theory as well as to other fields in which the bifurcation problems have a variational formulation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA029943

Entities

People

  • Paul Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Buckling
  • Differential Equations
  • Eigenvalues
  • Elastic Properties
  • Equations
  • Failure (Mechanics)
  • Mathematical Analysis
  • Mathematics
  • Mechanical Phenomena

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Structural Dynamics.