On resonance Hamiltonian systems without the Palais-Smale condition

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Abstract

In this paper, we study periodic solutions of resonance Hamiltonian systems. By combining Conley index theory and Galerkin approximation method, we prove the existence of periodic solutions of Hamiltonain systems where both the Palais-Smale condition and the strong resonance method fail.

Original languageEnglish (US)
Pages (from-to)1041-1056
Number of pages16
JournalNonlinear Analysis, Theory, Methods and Applications
Volume61
Issue number6
DOIs
StatePublished - Jun 1 2005

Keywords

  • Conley index
  • Galerkin approximation
  • Hamiltonian systems
  • Maslov-type index
  • Periodic solution

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