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

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

2012-03-02

arxiv.org/abs/1203.0387v1

Mathematics

Classical Analysis and ODEs

9 pages

Scientific paper

Lie symmetries of systems of second-order linear ordinary differential
equations with constant coefficients are exhaustively described. Exact
estimates for the dimensions of the maximal Lie invariance algebras possessed
by such systems are obtained using an effective algebraic approach.

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