Linear differential equations and products of linear forms

DOI10.1016/S0022-4049(97)00027-3zbMath0908.12003MaRDI QIDQ1358929

Felix Ulmer, Michael F. Singer

Publication date: 10 March 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

linear formslinear differential equationdifferential fieldlogarithmic derivativesLiouvillian solutions

Mathematics Subject Classification ID

Differential algebra (12H05) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (8)

Absolute reducibility of differential operators and Galois groups ⋮ Lifting and recombination techniques for absolute factorization ⋮ A characterization of reduced forms of linear differential systems ⋮ An algorithm for computing invariants of differential Galois groups ⋮ Liouvillian solutions of third order differential equations ⋮ Liouvillian solutions of linear differential equations of order three and higher ⋮ Effective descent for differential operators ⋮ Computing the Lie algebra of the differential Galois group: the reducible case

Cites Work

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• On Liouvillian solutions of linear differential equations
• 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
• Irreducible linear differential equations of prime order
• Testing reducibility of linear differential operators: A group theoretic perspective
• Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations

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