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Complete group classification of systems of two linear second-order ordinary differential equations

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Elsevier

Abstract

We give a complete group classification of the general case of linear systems of two second-order ordinary differential equations excluding the case of systems which are studied in the literature. This paper gives the initial step in the study of nonlinear systems of two second-order ordinary differential equations. It can also be extended to systems of equations with more than two equations. Furthermore the complete group classification of a system of two linear second-order ordinary differential equations is done. Four cases of linear systems of equations with inconstant coefficients are obtained.

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Citation

Moyo, S., Meleshko, S.V. and Oguis, G.F. 2013. Complete group classification of systems of two linear second-order ordinary differential equations. Communications in Nonlinear Science and Numerical Simulation, 18(11): 2972-2983.

DOI

10.1016/j.cnsns.2013.04.012