Forced Oscillations of Nonlinear Hamiltonian Systems, II.

Abstract

We study periodic solutions of the nonlinear Hamiltonian system with n degrees of freedom, the Hamiltonian H being convex and super quadratic in both variables, and the forcing terms being T-periodic with mean value zero. We prove that, if these forcing terms lie within bounds which we explicitly compute, system (H has some T-periodic solution, which we also locate explicitly.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1979
Accession Number
ADA083812

Entities

People

  • Ivar Ekeland

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Classification
  • Differential Equations
  • Equations
  • Inequalities
  • Integrals
  • Mathematics
  • Military Research
  • Oscillation
  • Periodic Functions
  • Real Variables
  • Security
  • United States
  • Universities
  • Variational Methods
  • Weak Convergence
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computer Vision.