%0 Journal Article
%T Equivalence groupoids of classes of linear ordinary differential equations and their group classification
%A Vyacheslav M. Boyko
%A Roman O. Popovych
%A Nataliya M. Shapoval
%J Mathematics
%D 2014
%I arXiv
%R 10.1088/1742-6596/621/1/012002
%X Admissible point transformations of classes of $r$th order linear ordinary differential equations (in particular, the whole class of such equations and its subclasses of equations in the rational form, the Laguerre-Forsyth form, the first and second Arnold forms) are exhaustively described. Using these results, the group classification of such equations is revisited within the algebraic approach in three different ways.
%U http://arxiv.org/abs/1403.6062v2