Thirty years of the inverse problem in the calculus of variations

DOI10.1016/S0034-4877(10)00022-4zbMath1237.49051OpenAlexW2065002468MaRDI QIDQ540793

David J.Saunders

Publication date: 3 June 2011

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(10)00022-4

zbMATH Keywords

inverse problemcalculus of variations

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Inverse problems in optimal control (49N45) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)

Related Items (10)

On the inverse problem of the discrete calculus of variations ⋮ The Inverse Problem of the Calculus of Variations and the Stabilization of Controlled Lagrangian Systems ⋮ On auxiliary fields and Lagrangians for relativistic wave equations ⋮ The Lagrangian and Hamiltonian for the two-dimensional Mathews-Lakshmanan oscillator ⋮ The multiplier problem of the calculus of variations for scalar ordinary differential equations ⋮ Presymplectic current and the inverse problem of the calculus of variations ⋮ The Helmholtz Conditions and the Method of Controlled Lagrangians ⋮ Variational Operators, Symplectic Operators, and the Cohomology of Scalar Evolution Equations ⋮ Non-classical laws with conserved quantities from the arbitrary functions included in general solution to elasticity and application ⋮ Lagrangian descriptions of dissipative systems: a review

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