Bifurcation, Perturbation of Simple Eigenvalues and Linearized Stability.

Abstract

The eigenvalue of minimum modulus of the Frechet derivative of a nonlinear operator is estimated along a bifurcating curve of zeroes of the operator. This result is applied to the study of a number of differential equations. Parallel results are developed for a class of nonlinear eigenvalue problems of positive type. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 28, 1972
Accession Number
AD0767130

Entities

People

  • Michael G. Crandall
  • Paul Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Linear Algebra