Second Noether-type theorem for the generalized variational principle of Herglotz
Keywords
Noether's theorems, variational principles, conserved quantitiesAbstract
The generalized variational principle of Herglotz defines the functional, whose extrema are sought, by a differential equation rather than by an integral. For such functionals the classical Noether theorems are not applicable. First and second Noether-type theorems which do apply to the generalized variational principle of Herglotz were formulated and proved. These theorems contain the classical first and second Noether theorems as special cases. We published the first Noether-type theorem previously in this journal. Here we prove the second Noether-type theorem and show that it reduces to the classical second Noether theorem when the Herglotz variational principle reduces to the classical variational principle.Downloads
Published
2005-12-01
How to Cite
1.
GEORGIEVA, Bogdana and GUENTHER, Ronald B. Second Noether-type theorem for the generalized variational principle of Herglotz. Topological Methods in Nonlinear Analysis. Online. 1 December 2005. Vol. 26, no. 2, pp. 307 - 314. [Accessed 18 February 2025].
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