Bifurcation of Periodic Solutions for a Semilinear Wave Equation.

Abstract

Bifurcation of time periodic solutions and their regularity are proved for a semilinear wave equation u sub tt - u sub xx - lambda u = f(lambda,x,u), x an element from 0 to pi, t an element of R, together with Dirichlet or Neumann boundary conditions at x = 0 and x = pi. The set of values of the real parameter lambda where bifurcation from the trivial solution u = 0 occurs is dense in R. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA054536

Entities

People

  • Hansjoerg Kielhoefer

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Classification
  • Contracts
  • Differential Equations
  • Equations
  • Fourier Series
  • Identities
  • Mathematics
  • North Carolina
  • Numbers
  • Partial Differential Equations
  • Security
  • Sequences
  • United States
  • Wave Equations
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis