A Note on a Theorem of R. Duffin.

Abstract

In an earlier paper, Duffin studied a model for the transverse vibrations of a string of n beads. This note looks at the same question in a more general setting. It establishes the existence of special solutions corresponding to high frequency oscillations which are positive in the coordinate system chosen as well as other 'non-positive' solutions. Keywords: Transverse vibrations of a string; Continua of positive solutions; Bifurcation.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA154786

Entities

People

  • P. H. Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Counter IED

DTIC Thesaurus Topics

  • Amplitude
  • Contracts
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Euler Equations
  • Frequency
  • Governments
  • Intervals
  • Mathematics
  • Time Intervals
  • Transverse
  • United States
  • United States Government
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Structural Dynamics.