Periodic Solutions of Perturbed Superquadratic Hamiltonian Systems.

Abstract

This paper proves the existence of infinitely many distinct T-periodic solutions of a certain perturbed Hamiltonian system under the conditions that H is of C sub 1, superquadratic, and possesses exponential or polynomial growth at infinity and that f is of sub 1, 2 and T-periodic, via minimax methods. Keywords: Monotone truncations, A priori estimates, Multiple periodic solutions.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1987
Accession Number
ADA194292

Entities

People

  • Yiming Long

Organizations

  • University of Wisconsin–Madison

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Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Continents
  • Geographic Regions
  • Hilbert Space
  • Identities
  • Inequalities
  • Integrals
  • Mathematical Analysis
  • Military Research
  • North Carolina
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  • Periodic Functions
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  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Maritime and Naval Warfare Studies
  • Mathematical Modeling and Probability Theory.