A Variational Method for Finding Periodic Solutions of Differential Equations.

Abstract

This paper concerns the use of minimax and approximation techniques from the calculus of variations to prove the existence of periodic solutions of Hamiltonian systems of ordinary differential equations. Most of the results are for equations where the period is prescribed and assumptions are made about the growth of the Hamiltonian near infinity. However it is also shown how such results can give information about solutions having prescribed energy. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA056718

Entities

People

  • Paul Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Contracts
  • Differential Equations
  • Differential Geometry
  • Equations
  • Geometry
  • Inequalities
  • Integrals
  • Lie Groups
  • Mathematics
  • Military Research
  • New York
  • Periodic Functions
  • Topology
  • United States
  • Variational Methods

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Linear Algebra