On second order homogeneous linear differential equations with Liouvillian solutions
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Publication:1389616
DOI10.1016/S0304-3975(97)00055-8zbMath0966.12003MaRDI QIDQ1389616
Publication date: 30 June 1998
Published in: Theoretical Computer Science (Search for Journal in Brave)
invariantsdifferential equationsdifferential Galois theorydifferential invariantsLiouvillian solutions
Symbolic computation and algebraic computation (68W30) Linear ordinary differential equations and systems (34A30) Abstract differential equations (12H20) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)
Related Items (3)
Algorithms for minimal Picard-Fuchs operators of Feynman integrals ⋮ Galoisian approach to integrability of Schrödinger equation ⋮ Liouvillian solutions of linear differential equations of order three and higher
Uses Software
Cites Work
- Note on Kovacic's algorithm
- An algorithm for solving second order linear homogeneous differential equations
- On Liouvillian solutions of linear differential equations
- Invariant theory
- Galois groups of second and third order linear differential equations
- Liouvillian and algebraic solutions of second and third order linear differential equations
- Integration and differential equations in computer algebra
- Irreducible linear differential equations of prime order
- Coefficient fields of solutions in Kovacic's algorithm
- Galois action on solutions of a differential equation
- Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations
- Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations
- Algorithms in invariant theory
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