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

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.

MSC: 32S70, 34A20, 34A05

Received: 30.12.2003

Language: English

DOI: 10.1070/RD2004v009n01ABEH000263

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