The inverse problem of the calculus of variations: The use of geometrical calculus in douglas's analysis

Transactions of the American Mathematical Society

Volumn 354, Issue 7, 2002, Pages 2897-2919

  Sarlet, Willy ^a   Thompson, G ^a   Prince, G E ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Geometrical calculus; Inverse problem; Lagrangian systems

Indexed keywords

EID: 0036344454     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-02-02994-X     Document Type: Article

References (14)

1. The inverse problem of the calculus of variations for ordinary differential equations
2. Linear connections for systems of second-order ordinary differential equations
3. The inverse problem of the calculus of variations: Separable systems
4. Towards a geometrical understanding of Douglas's solution of the inverse problem of the calculus of variations
5. Solution of the inverse problem of the calculus of variations
6. Sur le problème inverse du calcul des variations: Existence de lagrangiens associées à un spray dans le cas isotrope
7. Derivations of differential forms along the tangent -bundle projection
8. Derivations of differential forms along the tangent bundle projection
9. Geometric characterization of separable second-order differential equations
10. Addendum to: The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations
11. The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations
12. Derivations of forms along a map: The framework for time-dependent second-order equations