Please use this identifier to cite or link to this item: http://hdl.handle.net/10321/1559
Title: On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients
Authors: Meleshko, Sergey 
Moyo, Sibusiso 
Oguis, Giovanna Fae Ruiz 
Keywords: Group classification;Linear equations;Admitted Lie group;Equivalence transformation
Issue Date: 2014
Publisher: Elsevier
Source: Meleshko, 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): 341-347
Abstract: The 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.
URI: http://hdl.handle.net/10321/1559
Appears in Collections:Research Publications (Academic Support)

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