A note on Liouvillian integrability

DOI10.1016/j.jmaa.2011.10.009zbMath1241.34006OpenAlexW1990695180MaRDI QIDQ655509

Jaume Llibre, Jaume Giné

Publication date: 4 January 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.10.009

zbMATH Keywords

invariant algebraic curveLiouville integrability

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45)

Related Items (5)

On Liouvillian integrability of the first-order polynomial ordinary differential equations ⋮ Birational Geometry of Foliations Associated to Simple Derivations ⋮ Reduction of integrable planar polynomial differential systems ⋮ On planar polynomial vector fields with elementary first integrals ⋮ Puiseux integrability of differential equations

Cites Work

• Unnamed Item
• Limit cycles of differential equations
• Multiplicity of invariant algebraic curves in polynomial vector fields
• Weierstrass integrability of differential equations
• Equations de Pfaff algébriques
• Darboux integrability and the inverse integrating factor.
• Generalized cofactors and nonlinear superposition principles
• Non-algebraic invariant curves for polynomial planar vector fields
• Qualitative theory of planar differential systems
• Elementary First Integrals of Differential Equations
• Liouvillian First Integrals of Differential Equations
• Integration of polynomial ordinary differential equations in the real plane

This page was built for publication: A note on Liouvillian integrability