Constructing a third-order linear differential equation

DOI10.1016/S0304-3975(97)00053-4zbMath0966.12002WikidataQ115339266 ScholiaQ115339266MaRDI QIDQ1389613

Felix Ulmer, Willi Geiselmann

Publication date: 30 June 1998

Published in: Theoretical Computer Science (Search for Journal in Brave)

zbMATH Keywords

differential Galois groupLiouvillian solutionJFM 17.0321.02

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Linear ordinary differential equations and systems (34A30) Abstract differential equations (12H20)

Related Items (3)

Solutions of algebraic linear ordinary differential equations ⋮ On linear differential equations with reductive Galois group ⋮ Liouvillian solutions of third order differential equations

Cites Work

• On solutions of linear ordinary differential equations in their coefficient field
• Galois groups of second and third order linear differential equations
• Liouvillian and algebraic solutions of second and third order linear differential equations
• Necessary conditions for Liouvillian solutions of (third order) linear differential equations
• An algorithm for computing invariants of differential Galois groups

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