Galoisian methods for testing irreducibility of order two nonlinear differential equations

DOI10.2140/pjm.2018.297.299zbMath1406.34104arXiv1504.08134OpenAlexW3099617163MaRDI QIDQ1755275

Guy Casale, Jacques-Arthur Weil

Publication date: 9 January 2019

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.08134

zbMATH Keywords

ordinary differential equationscomputer algebradifferential Galois theoryPainlevé equations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Geometric methods in ordinary differential equations (34A26) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Explicit solutions, first integrals of ordinary differential equations (34A05) Lie algebras of linear algebraic groups (17B45) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (6)

Hiroshi Umemura and French mathematics ⋮ Variations for some Painlevé equations ⋮ Painlevé equation PII and strongly normal extensions ⋮ Specialisation of the Galois groupoid of a vector field ⋮ Differential Galois Theory and Integration ⋮ Computing the Lie algebra of the differential Galois group: the reducible case

Uses Software

• DLMF

Cites Work

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