A note on: 'The generalized Lienard polynomial differential systems x ' = y, y ' = -g(x) - f(x)y, with deg g = deg f+1, are not Liouvillian integrable' [Bull. Sci. math. 139 (2015) 214-227]

摘要

In this note we give a counterexample to the main result of the work "The generalized Lienard polynomial differential systems x' = y, y' = -g(x) - f(x)y, with deg g = deg f + 1, are not Liouvillian integrable" [Bull. Sci. Math. 139 (2015) 214-227] and give the correct statement of the result. (C) 2020 Elsevier Masson SAS. All rights reserved.