Existence of infinitely many periodic solutions for second-order Hamiltonian systems

By using the variant of the fountain theorem, we study the existence of infinitely many periodic solutions for a class of superquadratic nonautonomous second-order Hamiltonian systems.

Bibliographic Details
Main Authors: Hua Gu, Tianqing An
Format: Article
Language:English
Published: Texas State University 2013-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/251/abstr.html
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author Hua Gu
Tianqing An
author_facet Hua Gu
Tianqing An
author_sort Hua Gu
collection DOAJ
description By using the variant of the fountain theorem, we study the existence of infinitely many periodic solutions for a class of superquadratic nonautonomous second-order Hamiltonian systems.
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spelling doaj.art-f54868acaf014e98b6e4cb1ff7ebddf12022-12-21T23:18:10ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-11-012013251,110Existence of infinitely many periodic solutions for second-order Hamiltonian systemsHua Gu0Tianqing An1 Hohai Univ., Nanjing 210098, China Hohai Univ., Nanjing 210098, China By using the variant of the fountain theorem, we study the existence of infinitely many periodic solutions for a class of superquadratic nonautonomous second-order Hamiltonian systems.http://ejde.math.txstate.edu/Volumes/2013/251/abstr.htmlPeriodic solutionHamiltonian systemscritical pointvariational method
spellingShingle Hua Gu
Tianqing An
Existence of infinitely many periodic solutions for second-order Hamiltonian systems
Electronic Journal of Differential Equations
Periodic solution
Hamiltonian systems
critical point
variational method
title Existence of infinitely many periodic solutions for second-order Hamiltonian systems
title_full Existence of infinitely many periodic solutions for second-order Hamiltonian systems
title_fullStr Existence of infinitely many periodic solutions for second-order Hamiltonian systems
title_full_unstemmed Existence of infinitely many periodic solutions for second-order Hamiltonian systems
title_short Existence of infinitely many periodic solutions for second-order Hamiltonian systems
title_sort existence of infinitely many periodic solutions for second order hamiltonian systems
topic Periodic solution
Hamiltonian systems
critical point
variational method
url http://ejde.math.txstate.edu/Volumes/2013/251/abstr.html
work_keys_str_mv AT huagu existenceofinfinitelymanyperiodicsolutionsforsecondorderhamiltoniansystems
AT tianqingan existenceofinfinitelymanyperiodicsolutionsforsecondorderhamiltoniansystems