An EDS approach to the inverse problem in the calculus of variations

DOI10.1063/1.2358000zbMath1112.58016OpenAlexW2106598852MaRDI QIDQ3442076

J. E. Aldridge, Geoff Prince, Gerard Thompson, Willy Sarlet

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5835a646c7bb618ce9d1146b724d0b4096f7aa06

Mathematics Subject Classification ID

Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Inverse problems in optimal control (49N45)

Related Items (4)

A generalization of Szebehely's inverse problem of dynamics ⋮ The inverse problem in the calculus of variations: new developments ⋮ The inverse problem for Lagrangian systems with certain non-conservative forces ⋮ New progress in the inverse problem in the calculus of variations

Cites Work

• Derivations of differential forms along the tangent bundle projection
• The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations
• Sur le problème inverse du calcul des variations : existence de lagrangiens associés à un spray dans le cas isotrope. (On the inverse problem of the variational calculus: existence of Lagrangians associated with a spray in the isotropic case.)
• Derivations of differential forms along the tangent bundle projection. II
• The inverse problem of the calculus of variations: Separable systems
• Jacobi fields and linear connections for arbitrary second-order ODEs.
• Derivations of forms along a map: The framework for time-dependent second-order equations
• The Hamilton-Cartan formalism in the calculus of variations
• The inverse problem of the calculus of variations: The use of geometrical calculus in Douglas’s analysis
• The Helmholtz conditions revisited. A new approach to the inverse problem of Lagrangian dynamics
• A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics

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