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Variational compatibility of force laws

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*Martin Mráz and Jana Musilová*

**E-mail:** mraz@physics.muni.cz, janam@physics.muni.cz
**Abstract.** The paper presents a simplified version of conditions
for the variational compatibility of general forces in equations of motions
of physical systems with the finite number of degrees of freedom. The forces
are classified with respect to their transformation properties, and the
classification is discussed from the physical point-of-view.

**AMSclassification.** 49H05, 70H35

**Keywords.** Inverse variational problem, variational force laws