Ke Xiao-Feng and Liao Jia-Feng: On the existence of periodic solutions to second order Hamiltonian systems. (2022)
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Abstract
In this paper, the existence of periodic solutions to the second order Hamiltonian systems is investigated. By introducing a new growth condition which generalizes the Ambrosetti–Rabinowitz condition, we prove a existence result of nontrivial T-periodic solution via the variational methods. Our result is new because it can deal with not only the superquadratic case, but also the anisotropic case which allows the potential to be superquadratic growth in only one direction and asymptotically quadratic growth in other directions.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2022 |
| Number: | 36 |
| ISSN: | 1417-3875 |
| Number of Pages: | 12 |
| Language: | English |
| Place of Publication: | Szeged |
| Uncontrolled Keywords: | Hamilton rendszerek - másodrendű, Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 9-12. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2022. Sep. 08. 15:35 |
| Last Modified: | 2022. Nov. 08. 08:31 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/76537 |
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