Third order differential equations with fixed critical points

Adjabi, Y.Jrad F.Kessi, A.Muǧan, U.2016-02-082016-02-0820090096-3003http://hdl.handle.net/11693/22838The 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. © 2008 Elsevier Inc. All rights reserved.EnglishDifferential equations in complex domainFuches indicesPainlevé equationsPainlevé propertyPainlevé testSingular point analysisEquations of stateDifferential equations in complex domainFuches indicesSingular point analysisThird-orderThird-order differential equationsOrdinary differential equationsThird order differential equations with fixed critical pointsArticle10.1016/j.amc.2008.11.044