Equivalence groupoids of classes of linear ordinary differential equations and their group classification
Classical Analysis and ODEs
2015-09-02 v2
Abstract
Admissible point transformations of classes of 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.
Keywords
Cite
@article{arxiv.1403.6062,
title = {Equivalence groupoids of classes of linear ordinary differential equations and their group classification},
author = {Vyacheslav M. Boyko and Roman O. Popovych and Nataliya M. Shapoval},
journal= {arXiv preprint arXiv:1403.6062},
year = {2015}
}
Comments
22 pages, essentially revised and extended version