𝔖 Bobbio Scriptorium
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Rational solutions of linear ODE systems

✍ Scribed by Barkatou.

Book ID
127401466
Tongue
English
Weight
155 KB
Category
Library

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πŸ“œ SIMILAR VOLUMES

On Rational Solutions of Systems of Line
On Rational Solutions of Systems of Linear Differential Equations
✍ Moulay A. Barkatou πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 403 KB

Let K be a field of characteristic zero and M(Y ) = N a system of linear differential equations with coefficients in K(x). We propose a new algorithm to compute the set of rational solutions of such a system. This algorithm does not require the use of cyclic vectors. It has been implemented in Maple

Dalambertian solutions to linear ODEs
Dalambertian solutions to linear ODEs
✍ Abramov, Petkovsek. πŸ“‚ Library 🌐 English βš– 127 KB

D'Alembertian solutions of differential (resp. difference) equations are those expressible as nested indefinite integrals (resp. sums) of hyperexponential functions. They are a subclass of Liouvillian solutions, and can be constructed by recursively finding hyperexponential solutions and reducing th