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Inverse Problem for Constrained Lagrangian Systems

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Inverse Problems in Ordinary Differential Equations and Applications

Part of the book series: Progress in Mathematics ((PM,volume 313))

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Abstract

The aim of this chapter is to provide a solution of the inverse problem of the constrained Lagrangian mechanics which can be stated as follows: Determine for a given natural mechanical system with N degrees of freedom the most general field of forces depending only on the positions and satisfying a given set of constraints with are linear in the velocities. This statement of the inverse problem for constrained Lagrangian systems is new.

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Llibre, J., Ramírez, R. (2016). Inverse Problem for Constrained Lagrangian Systems. In: Inverse Problems in Ordinary Differential Equations and Applications. Progress in Mathematics, vol 313. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-26339-7_4

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