1203.0387 (Vyacheslav M. Boyko et al.)

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

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

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.

View original: http://arxiv.org/abs/1203.0387