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Journal of Applied Analysis

Editor-in-Chief: Fechner, Włodzimierz / Ciesielski, Krzysztof

Managing Editor: Gajek, Leslaw

CiteScore 2018: 0.45

SCImago Journal Rank (SJR) 2018: 0.181
Source Normalized Impact per Paper (SNIP) 2018: 0.845

Mathematical Citation Quotient (MCQ) 2018: 0.20

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Volume 24, Issue 1


Some variational principles associated with ODEs of maximal symmetry. Part 1: Equations in canonical form

Jean-Claude NdogmoORCID iD: http://orcid.org/0000-0002-0268-5141
Published Online: 2018-05-03 | DOI: https://doi.org/10.1515/jaa-2018-0002


Variational and divergence symmetries are studied in this paper for linear equations of maximal symmetry in canonical form, and the associated first integrals are given in explicit form. All the main results obtained are formulated as theorems or conjectures for equations of a general order. Some of these results apply to linear equations of a general form and of arbitrary orders or having a symmetry algebra of arbitrary dimension.

Keywords: Maximal symmetry algebra; variational symmetry; divergence symmetry; first integrals

MSC 2010: 34A26; 35A24; 70S10; 37K05


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About the article

Received: 2016-10-31

Accepted: 2017-12-19

Published Online: 2018-05-03

Published in Print: 2018-06-01

This research is supported by research grants from the University of Venda (grant number I538) and from the NRF of South Africa (grant number 97822).

Citation Information: Journal of Applied Analysis, Volume 24, Issue 1, Pages 17–26, ISSN (Online) 1869-6082, ISSN (Print) 1425-6908, DOI: https://doi.org/10.1515/jaa-2018-0002.

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