Abstract
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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Popov, A.M. Inverse Problem of the Calculus of Variations for Systems of Differential-Difference Equations of Second Order. Mathematical Notes 72, 687–691 (2002). https://doi.org/10.1023/A:1021417324565
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DOI: https://doi.org/10.1023/A:1021417324565