Geodesic
Non-collision solutions for a class of planar singular Lagrangian systems
Electronic Journal of Differential Equations, Tome 2000 (2000).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35D05, 35D10, 58E30
Keywords: singular Lagrangian system, periodic solution, non-collision 
@article{EJDE_2000__2000__a180,
     author = {Boughariou, Morched},
     title = {Non-collision solutions for a class of planar singular {Lagrangian} systems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2000},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a180/}
}
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Boughariou, Morched. Non-collision solutions for a class of planar singular Lagrangian systems. Electronic Journal of Differential Equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a180/