Noether's Theorem on Time Scales

Details Noether's Theorem on Time Scales Noether's Theorem on Time Scales

2007-09-04

arxiv.org/abs/0709.0400v1

J. Math. Anal. Appl., Vol. 342, Issue 2, 2008, pp. 1220--1226

Mathematics

Optimization and Control

Partially presented at the 6th International ISAAC Congress, August 13 to August 18, 2007, Middle East Technical University, A

Scientific paper

10.1016/j.jmaa.2008.01.018

We show that for any variational symmetry of the problem of the calculus of
variations on time scales there exists a conserved quantity along the
respective Euler-Lagrange extremals.

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