BRANCHING OF SOLUTIONS OF AN EQUATION IN HILBERT SPACE.

Abstract

A constructive method is developed to study the branching of solutions of the equation (I - lambda L)w + T(w) = nu p in a (real) Hilbert space H(lambda and nu are real parameters). The operator L is linear selfadjoint and compact, and the nonlinear operator T maps a neighborhood of the origin in H into H and is homogeneous of (integral) degree k(k = or > 2). The approach is based on the Lyapunov-Schmidt method and does not require that the nonlinear operator T be compact. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1969
Accession Number
AD0696326

Entities

People

  • D. Sather

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Equations
  • Hilbert Space
  • Integrals
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Linear Algebra

Technology Areas

  • Space