Linear sparse differential resultant formulas

Details Linear sparse differential resultant formulas Linear sparse differential resultant formulas

2011-12-16

arxiv.org/abs/1112.3921v2

Mathematics

Classical Analysis and ODEs

Scientific paper

Let $\frak{P}$ be a system of $n$ linear nonhomogeneous generic sparse ordinary differential polynomials in $n-1$ differential indeterminates. In this paper, differential resultant formulas are presented to compute, whenever it exists, the sparse differential resultant $\dres(\frak{P})$ introduced by Li, Gao and Yuan in (Proceedings of the ISSAC'2011), as the determinant of the coefficient matrix of an appropriate set of derivatives of differential polynomials in $\frak{P}$.

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