A Minimax Method for a Class of Hamiltonian Systems with Singular Potentials.

Abstract

This paper presents a minimax method which gives existence and multiplicity results for time periodic solutions of a class of Hamiltonian systems when a singular potential is present. The singularity satisfies the strong force condition of Gordon. When milder singularities are permitted a notion of generalized T-periodic solution is introduced and we get existence and multiplicity results for such solutions. Keywords: Minimax method; Calculus of variations; Hamiltonian systems; Singular potential; Strong force condition; Collision orbits; Weak force condition; Generalized T-periodic solution.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1987
Accession Number
ADA193478

Entities

People

  • Abbas Bahri
  • Paul Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Banach Space
  • Calculus
  • Calculus Of Variations
  • Collisions
  • Differential Equations
  • Equations
  • Mathematics
  • Nonlinear Analysis
  • North Carolina
  • Periodic Functions
  • Scientific Research
  • Sequences
  • Standards
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers