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 />
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Format: | Article |
Language: | English |
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Università degli Studi di Catania
2011-06-01
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Series: | Le Matematiche |
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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 /> |
first_indexed | 2024-12-12T23:26:09Z |
format | Article |
id | doaj.art-d3922be487324daa871c79b19716d3e6 |
institution | Directory Open Access Journal |
issn | 0373-3505 2037-5298 |
language | English |
last_indexed | 2024-12-12T23:26:09Z |
publishDate | 2011-06-01 |
publisher | Università degli Studi di Catania |
record_format | Article |
series | Le Matematiche |
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 |