Linear Complete Differential Resultants and the Implicitization of Linear DPPEs

Details Linear Complete Differential Resultants and the Implicitization of Linear DPPEs Linear Complete Differential Resultants and the Implicitization of Linear DPPEs

2007-12-05

arxiv.org/abs/0712.0785v2

Journal of Symbolic Computation, 45, 324-341 (2010)

Mathematics

Classical Analysis and ODEs

26 pages

Scientific paper

The linear complete differential resultant of a finite set of linear ordinary differential polynomials is defined. We study the computation by linear complete differential resultants of the implicit equation of a system of $n$ linear differential polynomial parametric equations in $n-1$ differential parameters. We give necessary conditions to ensure properness of the system of differential polynomial parametric equations.

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