Critical Point Theorems for Indefinite Functionals.

Abstract

A variational principle of a minimax nature is developed and used to prove the existence of critical points of certain variational problems which are indefinite. The proofs are carried out directly in an infinite dimensional Hilbert space. Special cases of these problems previously had been tractable only by an elaborate finite dimensional approximation procedure. The main applications given here are to Hamiltonian systems of ordinary differential equations where the existence of time periodic solutions is established for several classes of Hamiltonians. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1979
Accession Number
ADA068867

Entities

People

  • Paul H. Rabiowitz
  • Vieri Benci

Organizations

  • University of Wisconsin–Madison

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DTIC Thesaurus Topics

  • Contracts
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North Carolina
  • Point Theorem
  • Real Variables
  • United States
  • Variational Principles
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

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  • Space