First Noether-type theorem for the generalized variational principle of Herglotz
Keywords
Noether, variational, conserved, conservationAbstract
In this paper we formulate and prove a theorem, which provides the conserved quantities of a system described by the generalized variational principle of Herglotz. This new theorem contains as a special case the classical first Noether theorem. It reduces to it when the generalized variational principle of Herglotz reduces to the classical variational principle. Several examples for applications to physics are given.Downloads
Published
2002-12-01
How to Cite
1.
GEORGIEVA, Bogdana and GUENTHER, Ronald B. First Noether-type theorem for the generalized variational principle of Herglotz. Topological Methods in Nonlinear Analysis. Online. 1 December 2002. Vol. 20, no. 2, pp. 261 - 273. [Accessed 19 April 2024].
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