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

• Autorzy: Ndogmo J.-C.

Identyfikatory

DOI

10.1515/jaa-2018-0002

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

maximal symmetry algebra; variational symmetry; divergence symmetry; first integrals

PL

symetria wariacyjna; symetria rozbieżności; całka pierwsza

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2018
• Tom: Vol. 24, nr 1
• Strony: 17--26
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Ndogmo J.-C.

• Department of Mathematics and Applied Mathematics, University of Venda, P/B X5050, Thohoyandou, Limpopo 0950, South Africa

Bibliografia

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• [11] J. C. Ndogmo, Some variational principles associated with ODEs of maximal symmetry. Part 2: The general case, J. Appl. Anal. 24 (2018), to appear.
• [12] J.-C. Ndogmo and F. M. Mahomed, On certain properties of linear iterative equations, Cent. Eur. J. Math. 12 (2014), no. 4, 648-657.
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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).