On Liouvillian integrability of the first–order polynomial ordinary differential equations

Author:

Giné Jaume,Llibre Jaume

Funder

MICINN/FEDER

Generalitat de Catalunya

ICREA Academia

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference14 articles.

1. P.D. Acosta-Humánez, J.T. Lázaro, J.J. Morales-Ruiz, C.H. Pantazi, On the integrability of polynomials fields in the plane by means of Picard–Vessiot theory, 2012. Preprint.

2. Darboux integrability and the inverse integrating factor;Chavarriga;J. Differential Equations,2003

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

4. Multiplicity of invariant algebraic curves in polynomial vector fields;Christopher;Pacific J. Math.,2007

5. Generalized cofactors and nonlinear superposition principles;García;Appl. Math. Lett.,2003

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