A note on: “The generalized Liénard 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]

Author:

Giné JaumeORCID

Funder

MINECO/FEDER

AGAUR

Publisher

Elsevier BV

Subject

General Mathematics

Reference6 articles.

1. Liouvillian first integrals of second order polynomial differential equations;Christopher;Electron. J. Differ. Equ.,1999

2. On polynomial Liénard systems which have invariant algebraic curves;Hayashi;Funkc. Ekvacioj,1996

3. The generalized Liénard polynomial differential systems x′=y, y′=−g(x)−f(x)y, with deg⁡g=deg⁡f+1, are not Liouvillian integrable;Llibre;Bull. Sci. Math.,2015

4. Liouvillian first integrals for a class of generalized Liénard polynomial differential systems;Llibre;Proc. R. Soc. Edinb. A,2016

5. Liouvillian integrability versus Darboux polynomials;Llibre;Qual. Theory Dyn. Syst.,2016

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