Symmetry gaps for higher order ordinary differential equations
type: Item
instance of: scholarly article
title: Symmetry gaps for higher order ordinary differential equations
author: Johnson Allen Kessy
author: Dennis The
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-08-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/2110.03954
review text: Systems of \(m\geqslant 1\) non-autonomous non-parabolic ordinary differential equations of order \(n+1\geqslant 2\) are considered. Cartan's geometric approach is used. The symmetry gap problem for these ODEs is investigated. The submaximal contact symmetry dimension for these ODEs is determined. Finer curvature-constrained submaximal symmetry dimensions are also classified.
reviewed by: V. Yu. Tyshchenko
Mathematics Subject Classification ID: 34C14
Mathematics Subject Classification ID: 34A26
zbMATH DE Number: 7574875
zbMATH Keywords: submaximal symmetry for ODE
zbMATH Keywords: symmetry gap problem
zbMATH Keywords: Cartan geometry
MaRDI profile type: Publication
OpenAlex ID: W3207826324
Wikidata QID: Q115345816
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DOI: 10.1016/J.JMAA.2022.126475
description: scientific article; zbMATH DE number 7574875