Liouvillian solutions of third order differential equations
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Publication:1432884
DOI10.1016/S0747-7171(03)00065-8zbMath1072.12005MaRDI QIDQ1432884
Publication date: 22 June 2004
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Differential algebra (12H05) Abstract differential equations (12H20) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)
Related Items (6)
Schwarz maps of algebraic linear ordinary differential equations ⋮ Liouvillian solutions of Whittaker-Ince equation ⋮ On linear differential equations with reductive Galois group ⋮ Reversible linear differential equations ⋮ Solving difference equations whose coefficients are not transcendental ⋮ Note on algebraic solutions of differential equations with known finite Galois group
Cites Work
- Note on Kovacic's algorithm
- An algorithm for solving second order linear homogeneous differential equations
- 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
- Linear differential equations and products of linear forms
- Constructing a third-order linear differential equation
- Linear differential operators for polynomial equations
- Irreducible linear differential equations of prime order
- Galois action on solutions of a differential equation
- Testing reducibility of linear differential operators: A group theoretic perspective
- Liouvillian solutions of linear differential equations of order three and higher
- Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations
- Solving Homogeneous Linear Differential Equations in Terms of Second Order Linear Differential Equations
- Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations
- Differential equations and finite groups
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