Geodesic
Inverse Problem of the Calculus of Variations for Systems of Differential-Difference Equations of Second Order
Matematičeskie zametki, Tome 72 (2002) no. 5, pp. 745-749 
A. M. Popov. Inverse Problem of the Calculus of Variations for Systems of Differential-Difference Equations of Second Order. Matematičeskie zametki, Tome 72 (2002) no. 5, pp. 745-749. http://geodesic.mathdoc.fr/item/MZM_2002_72_5_a13/
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     title = {Inverse {Problem} of the {Calculus} of {Variations} for {Systems} of {Differential-Difference} {Equations} of {Second} {Order}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The inverse problem of the calculus of variations for second-order nonlinear and linear systems of differential-difference equations is considered. The relationship between the formal potentiality of a linear system with constant coefficients and the parity of its characteristic function is established.

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