The Kovacic's algorithm for parameterized differential Galois theory

Details The Kovacic's algorithm for parameterized differential Galois theory The Kovacic's algorithm for parameterized differential Galois theory

2011-10-05

arxiv.org/abs/1110.1053v3

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

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.

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