Le problème inverse du calcul des variations
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 36 (1982) no. 2, pp. 159-179. 
@article{AIHPA_1982__36_2_159_0,
     author = {Bauderon, Michel},
     title = {Le probl\`eme inverse du calcul des variations},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {159--179},
     publisher = {Gauthier-Villars},
     volume = {36},
     number = {2},
     year = {1982},
     mrnumber = {662883},
     zbl = {0519.58027},
     language = {fr},
     url = {http://archive.numdam.org/item/AIHPA_1982__36_2_159_0/}
}
TY  - JOUR
AU  - Bauderon, Michel
TI  - Le problème inverse du calcul des variations
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1982
SP  - 159
EP  - 179
VL  - 36
IS  - 2
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1982__36_2_159_0/
LA  - fr
ID  - AIHPA_1982__36_2_159_0
ER  - 
%0 Journal Article
%A Bauderon, Michel
%T Le problème inverse du calcul des variations
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1982
%P 159-179
%V 36
%N 2
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1982__36_2_159_0/
%G fr
%F AIHPA_1982__36_2_159_0
Bauderon, Michel. Le problème inverse du calcul des variations. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 36 (1982) no. 2, pp. 159-179. http://archive.numdam.org/item/AIHPA_1982__36_2_159_0/

[1] Abraham et Marsden, Foundations of Mechanics, 2nd edition (Benjamin). | Zbl

[2] Bauderon, Thèse de troisième cycle, Université de Paris VI, 1980.

[3] Bourbaki, Variétés différentiables et analytiques. Fascicule de résultats, Hermann. Paris. | Zbl

[4] Goldschmidt, Integrability criteria for partial differential equations, J. Diff. Geom., t. I, 1967, p. 269-307. | Zbl

[5] Goldschmidt et Sternberg, Hamiltonian formalism in the calculus of variations. Ann. Ins. Fourier, t. 23, 1, 1973, p. 203-267. | EuDML | Numdam | MR | Zbl

[6] Horndecki, Differential operators associated with the Euler-Lagrange operator. Tensor N. S., t. 28, 1974. | MR | Zbl

[7] Kuperschmidt, Geometry of jet bundles and the structure of lagrangian and hamiltonian formalism, Geometrical methods in Mathematical physics, Lect. Notes n° 775, Springer-Verlag, 1980. | MR | Zbl

[8] Olver, On the hamiltonian structure of evolution equations, Math. Proc. Camb. Phil. Soc., t. 88, 1980, p. 71-88. | MR | Zbl

[9] Santilli, Foundations of theoretical mechanics I, Texts and monographs in physics, Springer-Verlag, 1978. | MR | Zbl

[10] Takens, Symmetries, conservations laws and variation al principle, Geometry and topology, Lect. Notes in Maths n° 597, Springer-Verlag. | Zbl

[11] Takens, A global version of the inverse problem of the calculus of variations Preprint, Rijksuniversiteit Groningen, 1977.

[12] Tonti, Variational formulation of nonlinear differential equations (I), Bull. Sci. Acad. Roy. Belg., t. 55, 1969, p. 137-165. | MR | Zbl

[13] Tulczyjew, The Lagrange Complex. Bull. Soc. Math., France, t. 105, 1977, p. 419-431. | Numdam | MR | Zbl

[14] Tulczyjew, The Euler-Lagrange resolution and TULCZYJEW et DEDECKER, Spectral sequences and the inverse problem of the calculus of variations, Differential Geometrical methods in Mathematical Physics, Lect. Notes in Maths n° 836, Springer-Verlag, 1980. p. 22-48 and p. 498-503. | MR | Zbl

[15] Vinogradov, On the algebro-geometric foundations of Lagrangian field Theory, Soviet. Math. Dokl., t. 18, 1977, p. 1200-1204. | Zbl

[16] Vinogradov, A spectral sequence associated with a nonlinear differential equation, and algebro-geometric foundations of Lagrangian field theory with constraints, Soviet Math. Dokl., t. 19, 1977, p. 146-148. | Zbl