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 |
| Summary: | 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. |
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| ISSN: | 1072-6691 |