Applications of Natural Constraints in Critical Point Theory to Periodic Solutions of Natural Hamiltonian Systems.

Abstract

This paper deals with periodic solutions of Hamiltonian systems of the form -x = V'(x) with V a given function. Assuming V to be either a convex or an even function, and prescribing the period, existence results are obtained for the number of solutions in relation to the minimal period of these solutions, assuming superquadratic growth at infinity only, or subquadratic growth at infinity together with specific behaviour at the origin for V. By introducing natural constraints, these results are obtained by applying variational methods directly to the action functional. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1983
Accession Number
ADA136348

Entities

People

  • E. W. Van Groesen

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Contracts
  • Convergence
  • Differential Equations
  • Embedding
  • Energy
  • Equations
  • Identities
  • Mathematics
  • Mountains
  • Periodic Functions
  • Sequences
  • United States
  • Universities
  • Variational Methods
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis