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On Rational Solutions of Systems of Linear Differential Equations

✍ Scribed by Moulay A. Barkatou

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
403 KB
Volume
28
Category
Article
ISSN
0747-7171

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✦ Synopsis

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 V and it turns out to be faster than cyclic vector computations. We show how one can use this algorithm to give a method to find the set of solutions with entries in K(x)[log x] of M(Y ) = N .

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