𝔖 Bobbio Scriptorium
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Liouvillian solutions of ODEs with Liouvillian coefficients

✍ Scribed by Singer.

Book ID
127401968
Year
1991
Tongue
English
Weight
407 KB
Series
JSC
Category
Library

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πŸ“œ SIMILAR VOLUMES

Liouvillian solutions of third order dif
Liouvillian solutions of third order differential equations
✍ Felix Ulmer πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 450 KB

The Kovacic algorithm and its improvements give explicit formulae for the Liouvillian solutions of second order linear differential equations. Algorithms for third order differential equations also exist, but the tools they use are more sophisticated and the computations more involved. In this paper

Liouvillian Solutions of Linear Differen
Liouvillian Solutions of Linear Differential Equations of Order Three and Higher
✍ Mark Van Hoeij; Jean-FranΓ§ois Ragot; Felix Ulmer; Jacques-Arthur Weil πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 421 KB

Singer and Ulmer (1997) gave an algorithm to compute Liouvillian ("closed-form") solutions of homogeneous linear differential equations. However, there were several efficiency problems that made computations often not practical. In this paper we address these problems. We extend the algorithm in