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...
| Published in: | Journal of Function Spaces |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Online Access: | http://dx.doi.org/10.1155/2024/8537483 |
| Summary: | 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. |
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| ISSN: | 2314-8888 |