Geodesic
The Pontryagin principle of maximum and integral principles of mechanics
Theoretical and applied mechanics, Tome 7 (1981) no. 1, p. 21 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

It is well known that differential equations of motion of a mechanical system can be obtained from an integral principle of mechanics using variational calculus. We obtain here, starting from integral principles, several forms of the equations ot motion, using the Pontryagin principle of maximum. 
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Aleksandar Bakša. The Pontryagin principle of maximum and integral principles of mechanics. Theoretical and applied mechanics, Tome 7 (1981) no. 1, p. 21 . http://geodesic.mathdoc.fr/item/TAM_1981_7_1_a2/