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http://hdl.handle.net/10773/38140
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Torres, Delfim F. M. | pt_PT |
dc.date.accessioned | 2023-06-20T08:57:14Z | - |
dc.date.available | 2023-06-20T08:57:14Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 0003-6811 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/38140 | - |
dc.description.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. | pt_PT |
dc.description.sponsorship | This research was supported by Fundação para a Ciência e a Tecnologia (FCT) and the Center for Research and Development in Mathematics and Applications (CIDMA), project UIDB/04106/2020. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Taylor & Francis | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PT | pt_PT |
dc.rights | restrictedAccess | pt_PT |
dc.subject | Non-Newtonian calculus of variations | pt_PT |
dc.subject | Euler–Lagrange extremals | pt_PT |
dc.subject | DuBois–Reymond condition | pt_PT |
dc.subject | Erdmann condition | pt_PT |
dc.subject | Symmetry Noether's theorem | pt_PT |
dc.title | A non-Newtonian Noether's symmetry theorem | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 1934 | pt_PT |
degois.publication.issue | 7 | pt_PT |
degois.publication.lastPage | 1941 | pt_PT |
degois.publication.title | Applicable Analysis | pt_PT |
degois.publication.volume | 102 | pt_PT |
dc.relation.publisherversion | https://doi.org/10.1080/00036811.2021.2011243 | pt_PT |
dc.identifier.doi | 10.1080/00036811.2021.2011243 | pt_PT |
dc.identifier.essn | 1563-504X | pt_PT |
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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