Computing the Galois group of some parameterized linear differential equation of order two-Reference-Cited by-同舟云学术

Computing the Galois group of some parameterized linear differential equation of order two

Published:2014-01-24 Issue:4 Volume:142 Page:1193-1207
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dreyfus Thomas

Abstract

We extend Kovacic’s algorithm to compute the differential Galois group of some second order parameterized linear differential equation. In the case where no Liouvillian solutions could be found, we give a necessary and sufficient condition for the integrability of the system. We give various examples of computation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2014-142-04/S0002-9939-2014-11826-0/S0002-9939-2014-11826-0.pdf

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