Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on Derivative
Some existence results of periodic solution are obtained for a class of second-order Hamiltonian systems with nonlinearity depending on derivative. We prove that there exists T0>0 such that, for any T<T0, the provided Hamiltonian system has a nontrivial T-periodic and T/2-antiperiodic solution...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/8537483 |
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| _version_ | 1832569115709014016 |
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| author | Wenxiong Chen Shibo Liu |
| author_facet | Wenxiong Chen Shibo Liu |
| author_sort | Wenxiong Chen |
| collection | DOAJ |
| description | Some existence results of periodic solution are obtained for a class of second-order Hamiltonian systems with nonlinearity depending on derivative. We prove that there exists T0>0 such that, for any T<T0, the provided Hamiltonian system has a nontrivial T-periodic and T/2-antiperiodic solution via linking theorem and iteration method. |
| format | Article |
| id | doaj-art-523b7cff58b044edaa2e95fe8e59de86 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-523b7cff58b044edaa2e95fe8e59de862025-02-02T23:07:55ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/8537483Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on DerivativeWenxiong Chen0Shibo Liu1School of Mathematical SciencesDepartment of MathematicsSome existence results of periodic solution are obtained for a class of second-order Hamiltonian systems with nonlinearity depending on derivative. We prove that there exists T0>0 such that, for any T<T0, the provided Hamiltonian system has a nontrivial T-periodic and T/2-antiperiodic solution via linking theorem and iteration method.http://dx.doi.org/10.1155/2024/8537483 |
| spellingShingle | Wenxiong Chen Shibo Liu Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on Derivative Journal of Function Spaces |
| title | Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on Derivative |
| title_full | Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on Derivative |
| title_fullStr | Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on Derivative |
| title_full_unstemmed | Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on Derivative |
| title_short | Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on Derivative |
| title_sort | periodic and antiperiodic solutions for a second order hamiltonian system with nonlinearity depending on derivative |
| url | http://dx.doi.org/10.1155/2024/8537483 |
| work_keys_str_mv | AT wenxiongchen periodicandantiperiodicsolutionsforasecondorderhamiltoniansystemwithnonlinearitydependingonderivative AT shiboliu periodicandantiperiodicsolutionsforasecondorderhamiltoniansystemwithnonlinearitydependingonderivative |