On Sufficient Conditions for the Existence of Solutions for First Order Equations and Fourth Degree with the Painlevé Property

On Sufficient Conditions for the Existence of Solutions for First Order Equations and Fourth Degree with the Painlevé Property

In this paper we consider the non linear Fuchs differential equation of order one and fourth degree with polynomial coefficients for the unknown and analytic in the variable. We give the sufficient conditions for Painlevé property and we list some Fuchs differential equations with fixed critical poi...

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Veröffentlicht in:Qualitative theory of dynamical systems 2016-04, Vol.15 (1), p.81-93
Hauptverfasser: M’hamed-Messaoud, Khaled, Kessi, Arezki, Laadj, Toufik
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper we consider the non linear Fuchs differential equation of order one and fourth degree with polynomial coefficients for the unknown and analytic in the variable. We give the sufficient conditions for Painlevé property and we list some Fuchs differential equations with fixed critical points.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-015-0144-1