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

Boyko, Vyacheslav M.; Popovych, Roman O.; Shapoval, Nataliya M.

doi:10.1016/j.jmaa.2012.06.030

arXiv 2012-03-02 DOI 10.1016/j.jmaa.2012.06.030 0 views

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

Boyko, Vyacheslav M. · Popovych, Roman O. · Shapoval, Nataliya M.

Classical Analysis and ODEs Mathematical Physics 34A30, 34C14

Original · EN

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.

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