A Note on the Minimal Period Problem for Second Order Hamiltonian Systems

We study periodic solutions of second order Hamiltonian systems with even potential. By making use of generalized Nehari manifold, some sufficient conditions are obtained to guarantee the multiplicity and minimality of periodic solutions for second order Hamiltonian systems. Our results generalize t...

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Main Author: Huafeng Xiao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/385381
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author Huafeng Xiao
author_facet Huafeng Xiao
author_sort Huafeng Xiao
collection DOAJ
description We study periodic solutions of second order Hamiltonian systems with even potential. By making use of generalized Nehari manifold, some sufficient conditions are obtained to guarantee the multiplicity and minimality of periodic solutions for second order Hamiltonian systems. Our results generalize the outcome in the literature.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-30d2b78fc3574ed5b1bfceb2b0e7d02e2025-02-03T01:00:04ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/385381385381A Note on the Minimal Period Problem for Second Order Hamiltonian SystemsHuafeng Xiao0School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaWe study periodic solutions of second order Hamiltonian systems with even potential. By making use of generalized Nehari manifold, some sufficient conditions are obtained to guarantee the multiplicity and minimality of periodic solutions for second order Hamiltonian systems. Our results generalize the outcome in the literature.http://dx.doi.org/10.1155/2014/385381
spellingShingle Huafeng Xiao
A Note on the Minimal Period Problem for Second Order Hamiltonian Systems
Abstract and Applied Analysis
title A Note on the Minimal Period Problem for Second Order Hamiltonian Systems
title_full A Note on the Minimal Period Problem for Second Order Hamiltonian Systems
title_fullStr A Note on the Minimal Period Problem for Second Order Hamiltonian Systems
title_full_unstemmed A Note on the Minimal Period Problem for Second Order Hamiltonian Systems
title_short A Note on the Minimal Period Problem for Second Order Hamiltonian Systems
title_sort note on the minimal period problem for second order hamiltonian systems
url http://dx.doi.org/10.1155/2014/385381
work_keys_str_mv AT huafengxiao anoteontheminimalperiodproblemforsecondorderhamiltoniansystems
AT huafengxiao noteontheminimalperiodproblemforsecondorderhamiltoniansystems