On rational solutions of systems of linear differential equations
On rational solutions of systems of linear differential equations
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DOI：
10.1006/jsco.1999.0314
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发表时间：
1999-10-01
影响因子：
0.7
通讯作者：
Barkatou, MA
中科院分区：
文献类型：
--
作者：
Barkatou, MA
设K是特征零域，M(Y)=N是系数在K(X)中的线性微分方程组。我们提出了一个新的算法来计算这类系统的有理解集。该算法不需要使用循环向量。它已在Maple V上实现，结果证明它比循环向量计算更快。我们展示了如何使用这个算法来给出一种方法来寻找M(Y)=N的K(X)[logx]中包含条目的解的集合。
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. (C) 1999 Academic Press.