Third order differential equations with fixed critical points
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摘要
The singular point analysis of third order ordinary differential equations which are algebraic in y and y′ is presented. Some new third order ordinary differential equations that pass the Painlevé test as well as the known ones are found.
论文关键词：Differential equations in complex domain,Painlevé property,Painlevé equations,Singular point analysis,Painlevé test,Fuches indices
论文评审过程：Available online 10 December 2008.
论文官网地址：https://doi.org/10.1016/j.amc.2008.11.044
