Abstract
For pt.I see J. Math. Appliquees, vol.70, p.369 (1991). The solution to the equivalence problem for a higher-order Lagrangian leads to new differential equations which are invariantly associated with the variational functional. The authors derive explicit expressions for these equations in the case of second-order particle Lagrangians on the line under fibre-preserving, point and contact transformations. A geometrical interpretation of these equations based on the Poincare-Cartan form is discussed.
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