On the inverse problem for even-order ordinary differential equations in the higher-order calculus of variations.

DOI10.1016/S0926-2245(02)00065-7zbMath1048.34019WikidataQ115338208 ScholiaQ115338208MaRDI QIDQ1608967

David J.Saunders

Publication date: 14 August 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

second-order equationsmultiplier functions

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Variational principles in infinite-dimensional spaces (58E30) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Inverse problems in optimal control (49N45) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50)

Related Items (3)

A GEOMETRIC SETTING FOR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS ⋮ Unnamed Item ⋮ Thirty years of the inverse problem in the calculus of variations

Cites Work

• The inverse problem of the calculus of variations for ordinary differential equations
• A linear connection for higher-order ordinary differential equations
• A new approach to the nonlinear connection associated with second-order (and higher-order) differential equation fields
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