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Third order differential equations with fixed critical points

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
208
Issue
1
Identifiers
DOI: 10.1016/j.amc.2008.11.044
Keywords
  • Differential Equations In Complex Domain
  • Painlevé Property
  • Painlevé Equations
  • Singular Point Analysis
  • Painlevé Test
  • Fuches Indices
Disciplines
  • Mathematics

Abstract

Abstract The singular point analysis of third order ordinary differential equations which are algebraic in y and y ′ is presented. Some new third order ordinary differential equations that pass the Painlevé test as well as the known ones are found.

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