Geodesic
Maximum of action for Hamiltonian systems with unilateral constraints
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2012), pp. 70-72

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Hamilton's variational principle for mechanical systems with unilateral constraints is considered. It is shown that the action functional attains its local maximum on the class of variations lying inside the area allowed for the movement. An example is given. 
@article{VMUMM_2012_4_a15,
     author = {L. S. Otradnova},
     title = {Maximum of action for {Hamiltonian} systems with unilateral constraints},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {70--72},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_4_a15/}
}
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L. S. Otradnova. Maximum of action for Hamiltonian systems with unilateral constraints. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2012), pp. 70-72. http://geodesic.mathdoc.fr/item/VMUMM_2012_4_a15/