Periodic solutions for a class of second-order Hamiltonian systems

Roberto Livrea, Gabriele Bonanno, Roberto Livrea

Risultato della ricerca: Article

23 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 originaleEnglish
pagine (da-a)-
Numero di pagine13
RivistaElectronic Journal of Differential Equations
Volume2005
Stato di pubblicazionePublished - 2005

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Second Order Hamiltonian System
Periodic Solution
Eigenvalue
Distinct
Open interval
Multiplicity Results
Energy Functional
Hamiltonian Systems
Existence Results
Critical point
Class

All Science Journal Classification (ASJC) codes

  • Analysis

Cita questo

Periodic solutions for a class of second-order Hamiltonian systems. / Livrea, Roberto; Bonanno, Gabriele; Livrea, Roberto.

In: Electronic Journal of Differential Equations, Vol. 2005, 2005, pag. -.

Risultato della ricerca: Article

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AU - Bonanno, Gabriele

AU - Livrea, Roberto

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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

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JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

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