Periodic solutions for second order Hamiltonian systems

  • Giuseppina D'Aguì
  • Roberto Livrea
Keywords: Second order Hamiltonian systems, Eigenvalue problem, Periodic solutions, Critical points, Multiple solutions


In this paper we present some recent multiplicity results for a class of second order Hamiltonian systems. Exploiting the variational structure of the problem, it will be shown how the existence of multiple, even infinitely many, periodic solutions can be assured.