On the inverse problem of the calculus of variations for ordinary differential equations

DOI10.21136/MB.1993.125932zbMATH Open0786.58012OpenAlexW2734943591MaRDI QIDQ4271570

Olga Krupková

Publication date: 16 May 1994

Full work available at URL: https://eudml.org/doc/29086

zbMATH Keywords

variational equationsHelmholtz conditionsLepagean formsminimal- order Lagrangian

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Inverse problems in optimal control (49N45) Lagrange's equations (70H03)

Related Items (12)

An EDS approach to the inverse problem in the calculus of variations ⋮ Unnamed Item ⋮ On the inverse problem of the discrete calculus of variations ⋮ Formal integrability for the nonautonomous case of the inverse problem of the calculus of variations ⋮ Unnamed Item ⋮ A global version of the inverse problem of the calculus of variations ⋮ Lepage Manifolds ⋮ Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations ⋮ The inverse problem of the calculus of variations for sixth- and eighth-order scalar ordinary differential equations ⋮ The inverse problem of the calculus of variations: Separable systems ⋮ Inverse problem of the variational calculus for differential equations of second order with deviating argument ⋮ Unnamed Item

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