On sufficient conditions for the existence of solutions for first order equations and fourth degree with the Painlevé property

DOI10.1007/s12346-015-0144-1zbMath1345.34144OpenAlexW1982870328MaRDI QIDQ290294

Toufik Laadj, Khaled M'hamed-Messaoud, Arezki Kessi

Publication date: 1 June 2016

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-015-0144-1

zbMATH Keywords

Painlevé propertycritical pointsdifferential equationsFuchs theorem

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Other functions coming from differential, difference and integral equations (33E30) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Cites Work

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• Differential equations with fixed critical points
• First order equations without mobile critical points

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