Note on algebraic solutions of differential equations with known finite Galois group

DOI10.1007/s00200-005-0177-9zbMath1114.34070OpenAlexW1966972113MaRDI QIDQ2573794

Felix Ulmer

Publication date: 24 November 2005

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-005-0177-9

zbMATH Keywords

Liouvillian solutionsDifferential Galois theoryLinear differential equationsAlgebraic solutions

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

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Uses Software

• gfun

Cites Work

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• An algorithm for solving second order linear homogeneous differential equations
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• Liouvillian solutions of third order differential equations
• Linear differential operators for polynomial equations
• Liouvillian solutions of linear differential equations of order three and higher
• On Transitive Permutation Groups
• GFUN
• Differential equations and finite groups

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