On a classification of polynomial differential operators with respect to the type of first integrals

DOI10.1016/j.jde.2015.09.050zbMath1328.12011arXiv1104.4525OpenAlexW2173667226MaRDI QIDQ897789

Jinzhi Lei

Publication date: 7 December 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4525

zbMATH Keywords

classificationdifferential algebraLiouvillian first integralpolynomial differential equationGodbillon-Vey sequencepolynomial differential operator

Mathematics Subject Classification ID

Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (1)

The method of Puiseux series and invariant algebraic curves

Cites Work

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• The limit cycle of the van der Pol equation is not algebraic
• Associative differential operations
• Liouvillian First Integrals of Differential Equations

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