Non-collision solutions for a class of planar singular Lagrangian systems
Electronic journal of differential equations, Tome 2000 (2000)
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__a34,
     author = {Boughariou,  Morched},
     title = {Non-collision solutions for a class of planar singular {Lagrangian} systems},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0984.70015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a34/}
}
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JO  - Electronic journal of differential equations
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VL  - 2000
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%0 Journal Article
%A Boughariou,  Morched
%T Non-collision solutions for a class of planar singular Lagrangian systems
%J Electronic journal of differential equations
%D 2000
%V 2000
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a34/
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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__a34/