Free Vibrations for a Semilinear Wave Equation.

Abstract

Existence and regularity of nontrivial time periodic solutions are proved for semilinear wave equations under mild smoothness, monotonicity, and superlinearity assumptions. The forced vibration case is also treated.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1977
Accession Number
ADA042331

Entities

People

  • Paul Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Autonomy
  • C4I
  • Counter IED

DTIC Thesaurus Topics

  • Boundaries
  • Calculus
  • Calculus Of Variations
  • Contracts
  • Differential Equations
  • Electrical Solitons
  • Equations
  • Hypotheses
  • Inequalities
  • Integrals
  • Mathematics
  • Military Research
  • Observation
  • Partial Differential Equations
  • Periodic Functions
  • Variational Methods
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).