Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients

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Abstract

Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients are exhaustively described over both the complex and real fields. The exact lower and upper bounds for the dimensions of the maximal Lie invariance algebras possessed by such systems are obtained using an effective algebraic approach. © 2012.

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Boyko, V. M., Popovych, R. O., & Shapoval, N. M. (2013). Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients. Journal of Mathematical Analysis and Applications, 397(1), 434–440. https://doi.org/10.1016/j.jmaa.2012.06.030

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