Some results on equivalence groups
type: Item
instance of: scholarly article
title: Some results on equivalence groups
zbMATH Open document ID: 1280.34041
DOI: 10.1155/2012/484805
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: The comparison of two common types of equivalence groups of differential equations is discussed, and it is shown that one type can be identified with a subgroup of the other type, and a case where the two groups are isomorphic is exhibited. A result on the determination of the finite transformations of the infinitesimal generator of the larger group, which is useful for the determination of the invariant functions of the differential equation, is also given. In addition, the Levi decomposition of the Lie algebra associated with the larger group is found; the Levi factor of which is shown to be equal, up to a constant factor, to the Lie algebra associated with the smaller group.
Mathematics Subject Classification ID: 34C14
Mathematics Subject Classification ID: 17B66
zbMATH DE Number: 6169920
zbMATH Keywords: differential equations
zbMATH Keywords: Levi factor
Wikidata QID: Q58905972
author: J. C. Ndogmo
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/484805
OpenAlex ID: W2121585744
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description: scientific article; zbMATH DE number 6169920