Periodic Solutions for a Class of Singular Hamiltonian Systems on Time Scales

We are concerned with a class of singular Hamiltonian systems on time scales. Some results on the existence of periodic solutions are obtained for the system under consideration by means of the variational methods and the critical point theory.

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Main Authors: Xiaofang Meng, Yongkun Li
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/573517
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author Xiaofang Meng
Yongkun Li
author_facet Xiaofang Meng
Yongkun Li
author_sort Xiaofang Meng
collection DOAJ
description We are concerned with a class of singular Hamiltonian systems on time scales. Some results on the existence of periodic solutions are obtained for the system under consideration by means of the variational methods and the critical point theory.
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spelling doaj-art-0740011a93ca41b8af2498cd7d362bf22025-08-20T02:02:51ZengWileyJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/573517573517Periodic Solutions for a Class of Singular Hamiltonian Systems on Time ScalesXiaofang Meng0Yongkun Li1Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaWe are concerned with a class of singular Hamiltonian systems on time scales. Some results on the existence of periodic solutions are obtained for the system under consideration by means of the variational methods and the critical point theory.http://dx.doi.org/10.1155/2014/573517
spellingShingle Xiaofang Meng
Yongkun Li
Periodic Solutions for a Class of Singular Hamiltonian Systems on Time Scales
Journal of Mathematics
title Periodic Solutions for a Class of Singular Hamiltonian Systems on Time Scales
title_full Periodic Solutions for a Class of Singular Hamiltonian Systems on Time Scales
title_fullStr Periodic Solutions for a Class of Singular Hamiltonian Systems on Time Scales
title_full_unstemmed Periodic Solutions for a Class of Singular Hamiltonian Systems on Time Scales
title_short Periodic Solutions for a Class of Singular Hamiltonian Systems on Time Scales
title_sort periodic solutions for a class of singular hamiltonian systems on time scales
url http://dx.doi.org/10.1155/2014/573517
work_keys_str_mv AT xiaofangmeng periodicsolutionsforaclassofsingularhamiltoniansystemsontimescales
AT yongkunli periodicsolutionsforaclassofsingularhamiltoniansystemsontimescales