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

Bogdana Georgieva | Zendy; Ronald B. Guenther | Zendy

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

Author(s) -

Bogdana Georgieva,

Ronald B. Guenther

Publication year - 2002

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2002.036

Subject(s) - noether's theorem , mathematics , variational principle , type (biology) , pure mathematics , lagrangian , mathematical analysis , ecology , biology

In this paper we formulate and prove a theorem, which provides theconserved 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 reducesto the classical variational principle.Several examples for applications to physics are given.

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