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http://hdl.handle.net/10773/38140
Title: | A non-Newtonian Noether's symmetry theorem |
Author: | Torres, Delfim F. M. |
Keywords: | Non-Newtonian calculus of variations Euler–Lagrange extremals DuBois–Reymond condition Erdmann condition Symmetry Noether's theorem |
Issue Date: | 2023 |
Publisher: | Taylor & Francis |
Abstract: | The universal principle obtained by Emmy Noether in 1918, asserts that the invariance of a variational problem with respect to a one-parameter family of symmetry transformations implies the existence of a conserved quantity along the Euler-Lagrange extremals. Here we prove Noether's theorem for the recent non-Newtonian calculus of variations. The proof is based on a new necessary optimality condition of DuBois-Reymond type. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/38140 |
DOI: | 10.1080/00036811.2021.2011243 |
ISSN: | 0003-6811 |
Publisher Version: | https://doi.org/10.1080/00036811.2021.2011243 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[498]torres-NNnoether.pdf | 1.04 MB | Adobe PDF |
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