Geodesic
Note on Vujanović' Hamilton-Jacobi method for Hamilton equations with nonconservative forces
Theoretical and applied mechanics, Tome 9 (1983) no. 1, p. 111 .

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

The paper discusses Vujanović's generalization of the Hamilton-Jacobi theory, for non-conservative systems, in the doubled phase space. An alternative way of obtaining motion using algebraic operations on the complete integral of the corresponding partial differential equation is discussed. In the end, this theory is placed in a somewhat broader framework. A completely general procedure for forming the first integrals of a system of ordinary differential equations of the first order is discussed. 
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     author = {Willy Sarlet},
     title = {Note on {Vujanovi\'c'} {Hamilton-Jacobi} method for {Hamilton} equations with nonconservative forces},
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Willy Sarlet. Note on Vujanović' Hamilton-Jacobi method for Hamilton equations with nonconservative forces. Theoretical and applied mechanics, Tome 9 (1983) no. 1, p. 111 . http://geodesic.mathdoc.fr/item/TAM_1983_9_1_a11/