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Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions

  • Alessandro Fonda,
  • Natnael Gezahegn Mamo,
  • Franco Obersnel,
  • Andrea Sfecci

摘要

We prove some multiplicity results for Neumann-type boundary value problems associated with a Hamiltonian system. Such a system can be seen as the weak coupling of two systems, the first of which has some periodicity properties in the Hamiltonian function, the second one presenting the existence of a well-ordered pair of lower/upper solutions.