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.© 2005 Texas State University - San Marcos.

Bonanno, G., & Livrea, R. (2005). Periodic solutions for a class of second-order Hamiltonian systems. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005(115).

Periodic solutions for a class of second-order Hamiltonian systems

Livrea, Roberto
2005

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.© 2005 Texas State University - San Marcos.
http://ejde.math.txstate.edu/Volumes/2005/115/bonanno.pdf
Bonanno, G., & Livrea, R. (2005). Periodic solutions for a class of second-order Hamiltonian systems. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005(115).
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/258473
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