Periodic solutions for second order Hamiltonian systems

In this paper we present some recent multiplicity results for a class of second order Hamiltonian systems. Exploiting the variational structure of the problem, it will be shown how the existence of multiple, even infinitely many, periodic solutions can be assured.<br />

Bibliographic Details
Main Authors: Giuseppina D'Aguì, Roberto Livrea
Format: Article
Language:English
Published: Università degli Studi di Catania 2011-06-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/861
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author Giuseppina D'Aguì
Roberto Livrea
author_facet Giuseppina D'Aguì
Roberto Livrea
author_sort Giuseppina D'Aguì
collection DOAJ
description In this paper we present some recent multiplicity results for a class of second order Hamiltonian systems. Exploiting the variational structure of the problem, it will be shown how the existence of multiple, even infinitely many, periodic solutions can be assured.<br />
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spelling doaj.art-d3922be487324daa871c79b19716d3e62022-12-22T00:08:03ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982011-06-01661123132782Periodic solutions for second order Hamiltonian systemsGiuseppina D'AguìRoberto LivreaIn this paper we present some recent multiplicity results for a class of second order Hamiltonian systems. Exploiting the variational structure of the problem, it will be shown how the existence of multiple, even infinitely many, periodic solutions can be assured.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/861Second order Hamiltonian systemsEigenvalue problemPeriodic solutionsCritical pointsMultiple solutions
spellingShingle Giuseppina D'Aguì
Roberto Livrea
Periodic solutions for second order Hamiltonian systems
Le Matematiche
Second order Hamiltonian systems
Eigenvalue problem
Periodic solutions
Critical points
Multiple solutions
title Periodic solutions for second order Hamiltonian systems
title_full Periodic solutions for second order Hamiltonian systems
title_fullStr Periodic solutions for second order Hamiltonian systems
title_full_unstemmed Periodic solutions for second order Hamiltonian systems
title_short Periodic solutions for second order Hamiltonian systems
title_sort periodic solutions for second order hamiltonian systems
topic Second order Hamiltonian systems
Eigenvalue problem
Periodic solutions
Critical points
Multiple solutions
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/861
work_keys_str_mv AT giuseppinadagui periodicsolutionsforsecondorderhamiltoniansystems
AT robertolivrea periodicsolutionsforsecondorderhamiltoniansystems