Please use this identifier to cite or link to this item: http://hdl.handle.net/10321/1378
Title: Complete group classification of systems of two linear second-order ordinary differential equations : the algebraic approach
Authors: Mkhize, T.G. 
Moyo, Sibusiso 
Meleshko, Sergey 
Keywords: Group classification;Linear equations;Admitted Lie group;Equivalence transformation
Issue Date: 23-Aug-2013
Publisher: Wiley Online Library
Source: Mkhize, T.G.; Moyo, S. and Meleshko, S. V. 2013. Complete group classification of systems of two linear second-order ordinary differential equations: the algebraic approach. Mathematical Methods in the Applied Sciences. DOI: 10.1002/mma.3193
Abstract: We give a complete group classification of the general case of linear systems of two second-order ordinary differential equations. The algebraic approach is used to solve the group classification problem for this class of equations. This completes the results in the literature on the group classification of two linear second-order ordinary differential equations including recent results which give a complete group classification treatment of such systems. We show that using the algebraic approach leads to the study of a variety of cases in addition to those already obtained in the literature. We illustrate that this approach can be used as a useful tool in the group classification of this class of equations. A discussion of the subsequent cases and results is given. Copyright © 2014 John Wiley & Sons, Ltd.
URI: http://hdl.handle.net/10321/1378
ISSN: 0170-4214
Appears in Collections:Research Publications (Applied Sciences)

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