Multiple periodic solutions for Hamiltonian systems with not coercive potential

Roberto Livrea, Roberto Livrea, Gabriele Bonanno

Risultato della ricerca: Articlepeer review

43 Citazioni (Scopus)

Abstract

Under an appropriate oscillating behavior of the nonlinear term, the existence of infinitely many periodic solutions for a class of second order Hamiltonian systems is established. Moreover, the existence of two non-trivial periodic solutions for Hamiltonian systems with not coercive potential is obtained, and the existence of three periodic solutions for Hamiltonian systems with coercive potential is pointed out. The approach is based on critical point theorems. © 2009 Elsevier Inc. All rights reserved.
Lingua originaleEnglish
pagine (da-a)627-638
Numero di pagine12
RivistaJournal of Mathematical Analysis and Applications
Volume363
Stato di pubblicazionePublished - 2010

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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