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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/385381 |
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| _version_ | 1832567925698985984 |
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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 |
| id | doaj-art-30d2b78fc3574ed5b1bfceb2b0e7d02e |
| 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 |