The Lagrange equations arising from a Lagrange function are second order differential equations. With this formalism, it is possible to realize constraints (such as occur in applications when objects are affixed to an axle or connected by rods) by simply restricting the Lagrange function.
CITATION STYLE
Knauf, A. (2018). Variational Principles. In UNITEXT - La Matematica per il 3 piu 2 (Vol. 109, pp. 155–189). Springer-Verlag Italia s.r.l. https://doi.org/10.1007/978-3-662-55774-7_8
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