Vyacheslav M. Boyko (Institute of Mathematics of the NAS of Ukraine, Kyiv)
Roman O. Popovych (Wolfgang Pauli Institute, Vienna, Austria; Institute of Mathematics of the NAS of Ukraine, Kyiv)

Equivalence groupoids of classes of linear ordinary differential equations and their group classification

Abstract:
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.

This talk is based on the paper arXiv:1403.6062v2.