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

• Khaled M'hamed-Messaoud ^[1] ; Arezki Kessi ^[1] ; Toufik Laadj ^[1]
  1. [1] University of Science and Technology (Algeria)
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 15, Nº 1, 2016, págs. 81-93
• Idioma: inglés
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• Resumen

  • 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.