Existence and multiplicity results for non-autonomous second-order Hamiltonian systems
In this article, using the least action principle and minimax methods in critical point theory, some existence and multiplicity results for periodic solutions of second-order Hamiltonian systems are obtained.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-12-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2024-0051 |
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| _version_ | 1832593669955256320 |
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| author | Liu Chungen Zhong Yuyou |
| author_facet | Liu Chungen Zhong Yuyou |
| author_sort | Liu Chungen |
| collection | DOAJ |
| description | In this article, using the least action principle and minimax methods in critical point theory, some existence and multiplicity results for periodic solutions of second-order Hamiltonian systems are obtained. |
| format | Article |
| id | doaj-art-2c0d359d8e314d8a9af5d9608e64a460 |
| institution | Kabale University |
| issn | 2191-950X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj-art-2c0d359d8e314d8a9af5d9608e64a4602025-01-20T11:08:03ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2024-12-011314862486710.1515/anona-2024-0051Existence and multiplicity results for non-autonomous second-order Hamiltonian systemsLiu Chungen0Zhong Yuyou1School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, P. R. ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, P. R. ChinaIn this article, using the least action principle and minimax methods in critical point theory, some existence and multiplicity results for periodic solutions of second-order Hamiltonian systems are obtained.https://doi.org/10.1515/anona-2024-0051periodic solutionsthe least action principleminimax methodssecond-order hamiltonian systems34c2537j4534c52 |
| spellingShingle | Liu Chungen Zhong Yuyou Existence and multiplicity results for non-autonomous second-order Hamiltonian systems Advances in Nonlinear Analysis periodic solutions the least action principle minimax methods second-order hamiltonian systems 34c25 37j45 34c52 |
| title | Existence and multiplicity results for non-autonomous second-order Hamiltonian systems |
| title_full | Existence and multiplicity results for non-autonomous second-order Hamiltonian systems |
| title_fullStr | Existence and multiplicity results for non-autonomous second-order Hamiltonian systems |
| title_full_unstemmed | Existence and multiplicity results for non-autonomous second-order Hamiltonian systems |
| title_short | Existence and multiplicity results for non-autonomous second-order Hamiltonian systems |
| title_sort | existence and multiplicity results for non autonomous second order hamiltonian systems |
| topic | periodic solutions the least action principle minimax methods second-order hamiltonian systems 34c25 37j45 34c52 |
| url | https://doi.org/10.1515/anona-2024-0051 |
| work_keys_str_mv | AT liuchungen existenceandmultiplicityresultsfornonautonomoussecondorderhamiltoniansystems AT zhongyuyou existenceandmultiplicityresultsfornonautonomoussecondorderhamiltoniansystems |