Gabriele Bonanno, Roberto Livrea
Abstract:
Multiplicity results for an eigenvalue second-order Hamiltonian
system are investigated. Using suitable critical points arguments,
the existence of an exactly determined open interval of positive
eigenvalues for which the system admits at least three distinct
periodic solutions is established. Moreover, when the energy
functional related to the Hamiltonian system is not coercive,
an existence result of two distinct periodic solutions is given.
Submitted August 4, 2005. Published October 21, 2005.
Math Subject Classifications: 34B15, 34C25.
Key Words: Second order Hamiltonian systems; eigenvalue problem;
periodic solutions; critical points; multiple solutions.
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Gabriele Bonanno Dipartimento di Informatica, Matematica, Elettronica e Trasporti Facoltá di Ingegneria, Universitá di Reggio Calabria Via Graziella (Feo di Vito), 89100 Reggio Calabria, Italy email: bonanno@ing.unirc.it |
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Roberto Livrea Dipartimento di Patrimonio Architettonico e Urbanistico Facoltá di Architettura, Universitá di Reggio Calabria Salita Melissari, 89100 Reggio Calabria, Italy email: roberto.livrea@unirc.it |
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