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On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients

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dc.contributor.authorMeleshko, Sergeyen_US
dc.contributor.authorMoyo, Sibusisoen_US
dc.contributor.authorOguis, Giovanna Fae Ruizen_US
dc.date.accessioned2016-06-21T06:59:46Z
dc.date.available2016-06-21T06:59:46Z
dc.date.issued2014
dc.description.abstractThe completeness of the group classification of systems of two linear second-order ordinary differential equations with constant coefficients is delineated in the paper. The new cases extend what has been done in the literature. These cases correspond to the type of equations where the commutative property of the coefficient matrices with respect to the dependent variables and the first-order derivatives in the considered system does not hold. A discussion of the results as well as a note on the extension to linear systems of second-order ordinary differential equations with more than two equations are given.en_US
dc.description.availabilityCopyright: 2014. Elsevier. Due to copyright restrictions, only the abstract is available. For access to the full text item, please consult the publisher's website. The definitive version of the work is published in Journal of Mathematical Analysis and Applications, February, 2014, Vol. 410, Pages 341-347en_US
dc.dut-rims.pubnumDUT-002506en_US
dc.format.extent7 pen_US
dc.identifier.citationMeleshko, S.V.; Moyo, S. and Oguis, G.F. 2014. On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients. Journal of Mathematical Analysis and Applications, 410(1): 341-347en_US
dc.identifier.doihttps://doi.org/10.1016/j.jmaa.2013.08.033
dc.identifier.urihttp://hdl.handle.net/10321/1559
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.publisher.urihttp://dx.doi.org/10.1016/j.jmaa.2013.08.033en_US
dc.subjectGroup classificationen_US
dc.subjectLinear equationsen_US
dc.subjectAdmitted Lie groupen_US
dc.subjectEquivalence transformationen_US
dc.titleOn the group classification of systems of two linear second-order ordinary differential equations with constant coefficientsen_US
dc.typeArticleen_US

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