A note on Liouvillian integrability

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Gine, Jaume¹  Llibre, Jaume² 

[1] Univ Lleida, Dept Matemat, Lleida 25001, Catalonia, Spain

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

关键词: Liouville integrability;    Invariant algebraic curve;   

DOI  :  10.1016/j.jmaa.2011.10.009

来源: Elsevier

【 摘 要 】

There was the belief that if a planar polynomial differential system has a Liouvillian first integral, then it has some finite invariant algebraic curves. In this note we provide a counterexample to this belief. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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