On a Order Reduction Theorem in the Lagrangian Formalism

Abstract

We provide a new proof of a important theorem in the Lagrangian formalism about necessary and sufficient conditions for a second-order variational system of equations to follow from a first-order Lagrangian.

9 pages, LATEX, no figures; appear in Il Nuovo Cimento B

References in corpus (2)

• Varational Equations and Symmetries in the Lagrangian Formalism
• Variational Equations and Symmetries in the Lagrangian Formalism II. Arbitrary Vector Fields

Cited by in corpus (2)

• Canonical variational completion of differential equations
• On the closure property of Lepage equivalents of Lagrangians