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Regular and Chaotic Dynamics, 2004, Volume 9, Issue 1, Pages 35–45
DOI: https://doi.org/10.1070/RD2004v009n01ABEH000263 (Mi rcd729) 		 
Third order differential equations with fixed critical points

S. Ait-Mokhtar

Université de La Rochelle, Laboratoire de Mathematiques et Applications, Avenue Michel Crépeau, 17042 La Rochelle Cedex 1, FRANCE
DOI: https://doi.org/10.1070/RD2004v009n01ABEH000263
Abstract: We consider a class of third order homogenous differential equation whose coefficients are analytic functions of the complex variable. We find necessary and sufficient conditions about the coefficients in order that the only movable singularities of the solutions may be poles.
Received: 30.12.2003
Bibliographic databases:
Document Type: Article
MSC: 32S70, 34A20, 34A05
Language: English
Citation: S. Ait-Mokhtar, “Third order differential equations with fixed critical points”, Regul. Chaotic Dyn., 9:1 (2004), 35–45
Citation in format AMSBIB
\Bibitem{Ait04}
\by S.~Ait-Mokhtar
\paper Third order differential equations with fixed critical points
\jour Regul. Chaotic Dyn.
\yr 2004
\vol 9
\issue 1
\pages 35--45
\mathnet{http://mi.mathnet.ru/rcd729}
\crossref{https://doi.org/10.1070/RD2004v009n01ABEH000263}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2058897}
\zmath{https://zbmath.org/?q=an:1051.34074}
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