On the existence of periodic oscillations for pendulum-type equations
We provide new sufficient conditions for the existence of T-periodic solutions for the ϕ-laplacian pendulum equation (ϕ(x′))′ + k x′ + a sin x = e(t), where e ∈ C͠T. Our main tool is a continuation theorem due to Capietto, Mawhin and Zanolin and we improve or complement previous results in the liter...
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-05-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2020-0222 |
| _version_ | 1818586486582280192 |
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| author | Cid J. Ángel |
| author_facet | Cid J. Ángel |
| author_sort | Cid J. Ángel |
| collection | DOAJ |
| description | We provide new sufficient conditions for the existence of T-periodic solutions for the ϕ-laplacian pendulum equation (ϕ(x′))′ + k x′ + a sin x = e(t), where e ∈ C͠T. Our main tool is a continuation theorem due to Capietto, Mawhin and Zanolin and we improve or complement previous results in the literature obtained in the framework of the classical, the relativistic and the curvature pendulum equations. |
| first_indexed | 2024-12-16T08:53:44Z |
| format | Article |
| id | doaj.art-a9813b0e56d84d4a90ba7f7e8e2b19e2 |
| institution | Directory Open Access Journal |
| issn | 2191-9496 2191-950X |
| language | English |
| last_indexed | 2024-12-16T08:53:44Z |
| publishDate | 2020-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-a9813b0e56d84d4a90ba7f7e8e2b19e22022-12-21T22:37:21ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2020-05-0110112113010.1515/anona-2020-0222anona-2020-0222On the existence of periodic oscillations for pendulum-type equationsCid J. Ángel0Departamento de Matemáticas, Universidade de Vigo, Vigo, Campus de Ourense, 32004, SpainWe provide new sufficient conditions for the existence of T-periodic solutions for the ϕ-laplacian pendulum equation (ϕ(x′))′ + k x′ + a sin x = e(t), where e ∈ C͠T. Our main tool is a continuation theorem due to Capietto, Mawhin and Zanolin and we improve or complement previous results in the literature obtained in the framework of the classical, the relativistic and the curvature pendulum equations.https://doi.org/10.1515/anona-2020-0222periodic solutionϕ-laplacianpendulum equationrelativistic pendulumcontinuation theorem34c25 |
| spellingShingle | Cid J. Ángel On the existence of periodic oscillations for pendulum-type equations Advances in Nonlinear Analysis periodic solution ϕ-laplacian pendulum equation relativistic pendulum continuation theorem 34c25 |
| title | On the existence of periodic oscillations for pendulum-type equations |
| title_full | On the existence of periodic oscillations for pendulum-type equations |
| title_fullStr | On the existence of periodic oscillations for pendulum-type equations |
| title_full_unstemmed | On the existence of periodic oscillations for pendulum-type equations |
| title_short | On the existence of periodic oscillations for pendulum-type equations |
| title_sort | on the existence of periodic oscillations for pendulum type equations |
| topic | periodic solution ϕ-laplacian pendulum equation relativistic pendulum continuation theorem 34c25 |
| url | https://doi.org/10.1515/anona-2020-0222 |
| work_keys_str_mv | AT cidjangel ontheexistenceofperiodicoscillationsforpendulumtypeequations |