Solvability of linear differential systems in the Liouvillian sense
Classical Analysis and ODEs
2013-12-10 v1
Abstract
The paper concerns the solvability by quadratures of linear differential systems, which is one of the questions of differential Galois theory. We consider systems with regular singular points as well as those with (non-resonant) irregular ones and propose some criteria of solvability for systems whose (formal) exponents are sufficiently small.
Keywords
Cite
@article{arxiv.1312.2518,
title = {Solvability of linear differential systems in the Liouvillian sense},
author = {Renat Gontsov and Ilya Vyugin},
journal= {arXiv preprint arXiv:1312.2518},
year = {2013}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:1309.7592