On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces

Abstract

In two recent papers necessary and sufficient conditions for a given system of second-order ordinary differential equations to be of Lagrangian form with additional dissipative forces were derived. We point out that these conditions are not independent and prove a stronger result accordingly.

10 pages, accepted for publ in Z. Angew. Math. Mech.

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