Periodic solutions for a class of second-order Hamiltonian systems

Roberto Livrea; Roberto Livrea; Gabriele Bonanno

Periodic solutions for a class of second-order Hamiltonian systems

Roberto Livrea, Roberto Livrea, Gabriele Bonanno

Matematica e Informatica

Risultato della ricerca: Article › peer review

32 Citazioni (Scopus)

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.

Lingua originale	English
Numero di pagine	13
Rivista	Electronic Journal of Differential Equations
Volume	2005
Stato di pubblicazione	Published - 2005

All Science Journal Classification (ASJC) codes

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T1 - Periodic solutions for a class of second-order Hamiltonian systems

AU - Livrea, Roberto

AU - Bonanno, Gabriele

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AB - 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.

UR - http://hdl.handle.net/10447/258473

UR - http://ejde.math.txstate.edu/Volumes/2005/115/bonanno.pdf

M3 - Article

SN - 1072-6691

VL - 2005

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Periodic solutions for a class of second-order Hamiltonian systems

Abstract

All Science Journal Classification (ASJC) codes

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