Helmholtz's inverse problem of the discrete calculus of variations

Details Helmholtz's inverse problem of the discrete calculus of variations Helmholtz's inverse problem of the discrete calculus of variations

2012-03-06

arxiv.org/abs/1203.1209v1

Mathematics

Dynamical Systems

17 page

Scientific paper

We derive the discrete version of the classical Helmholtz condition.
Precisely, we state a theorem characterizing second order finite differences
equations admitting a Lagrangian formulation. Moreover, in the affirmative
case, we provide the class of all possible Lagrangian formulations.

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