Third order differential equations with fixed critical points

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.

DOI: 10.1016/j.amc.2008.11.044

Extracted Key Phrases

Showing 1-2 of 2 references

Sur certaines classes d'´ equations différentielles dutroisì eme ordreordrè a points critiques fixes. Differential Equations, t

  • N S Kolesnikova, N A Lukachevitch
  • 1972

Differential equations with fixed critical points

  • F J Bureau