### First Noether-type theorem for the generalized variational principle of Herglotz

DOI: http://dx.doi.org/10.12775/TMNA.2002.036

#### Abstract

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.

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.

#### Keywords

Noether; variational; conserved; conservation

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