Non-collision solutions for a class of planar singular Lagrangian systems
In this paper, we show the existence of non-collision periodic solutions of minimal period for a class of singular second order Hamiltonian systems in ${R}^2$ with weak forcing terms. We consider the fixed period problem and the fixed energy problem in the autonomous case.
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| Format: | Article |
| Language: | English |
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Texas State University
2000-12-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2000/75/abstr.html |
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doaj-1bf701d170b3428690700be3653d08952020-11-25T01:02:16ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912000-12-01200075110Non-collision solutions for a class of planar singular Lagrangian systemsMorched BoughariouIn this paper, we show the existence of non-collision periodic solutions of minimal period for a class of singular second order Hamiltonian systems in ${R}^2$ with weak forcing terms. We consider the fixed period problem and the fixed energy problem in the autonomous case. http://ejde.math.txstate.edu/Volumes/2000/75/abstr.htmlSingular Lagrangian systemperiodic solutionnon-collision. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Morched Boughariou |
| spellingShingle |
Morched Boughariou Non-collision solutions for a class of planar singular Lagrangian systems Electronic Journal of Differential Equations Singular Lagrangian system periodic solution non-collision. |
| author_facet |
Morched Boughariou |
| author_sort |
Morched Boughariou |
| title |
Non-collision solutions for a class of planar singular Lagrangian systems |
| title_short |
Non-collision solutions for a class of planar singular Lagrangian systems |
| title_full |
Non-collision solutions for a class of planar singular Lagrangian systems |
| title_fullStr |
Non-collision solutions for a class of planar singular Lagrangian systems |
| title_full_unstemmed |
Non-collision solutions for a class of planar singular Lagrangian systems |
| title_sort |
non-collision solutions for a class of planar singular lagrangian systems |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2000-12-01 |
| description |
In this paper, we show the existence of non-collision periodic solutions of minimal period for a class of singular second order Hamiltonian systems in ${R}^2$ with weak forcing terms. We consider the fixed period problem and the fixed energy problem in the autonomous case. |
| topic |
Singular Lagrangian system periodic solution non-collision. |
| url |
http://ejde.math.txstate.edu/Volumes/2000/75/abstr.html |
| work_keys_str_mv |
AT morchedboughariou noncollisionsolutionsforaclassofplanarsingularlagrangiansystems |
| _version_ |
1725205756575219712 |