Homoclinic orbits for a class of symmetric Hamiltonian systems
of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits. We use variational approach.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1994-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1994/01/abstr.html |
| _version_ | 1819034236788670464 |
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| author | Philip Korman Alan C. Lazer |
| author_facet | Philip Korman Alan C. Lazer |
| author_sort | Philip Korman |
| collection | DOAJ |
| description | of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits. We use variational approach. |
| first_indexed | 2024-12-21T07:30:32Z |
| format | Article |
| id | doaj.art-2425ce4f3e6d454fa56e4ae0442ef023 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-21T07:30:32Z |
| publishDate | 1994-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-2425ce4f3e6d454fa56e4ae0442ef0232022-12-21T19:11:34ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911994-02-01199401115Homoclinic orbits for a class of symmetric Hamiltonian systemsPhilip KormanAlan C. Lazerof Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits. We use variational approach.http://ejde.math.txstate.edu/Volumes/1994/01/abstr.htmlHomoclinic orbitsmountain-pass lemma. |
| spellingShingle | Philip Korman Alan C. Lazer Homoclinic orbits for a class of symmetric Hamiltonian systems Electronic Journal of Differential Equations Homoclinic orbits mountain-pass lemma. |
| title | Homoclinic orbits for a class of symmetric Hamiltonian systems |
| title_full | Homoclinic orbits for a class of symmetric Hamiltonian systems |
| title_fullStr | Homoclinic orbits for a class of symmetric Hamiltonian systems |
| title_full_unstemmed | Homoclinic orbits for a class of symmetric Hamiltonian systems |
| title_short | Homoclinic orbits for a class of symmetric Hamiltonian systems |
| title_sort | homoclinic orbits for a class of symmetric hamiltonian systems |
| topic | Homoclinic orbits mountain-pass lemma. |
| url | http://ejde.math.txstate.edu/Volumes/1994/01/abstr.html |
| work_keys_str_mv | AT philipkorman homoclinicorbitsforaclassofsymmetrichamiltoniansystems AT alanclazer homoclinicorbitsforaclassofsymmetrichamiltoniansystems |