Mathematics – Classical Analysis and ODEs
Scientific paper
2010-03-23
Journal of Symbolic Computation, 46, 977-996 (2011)
Mathematics
Classical Analysis and ODEs
Scientific paper
Let $\bbK$ be an ordinary differential field with derivation $\partial$. Let $\cP$ be a system of $n$ linear differential polynomial parametric equations in $n-1$ differential parameters with implicit ideal $\id$. Given a nonzero linear differential polynomial $A$ in $\id$ we give necessary and sufficient conditions on $A$ for $\cP$ to be $n-1$ dimensional. We prove the existence of a linear perturbation $\cP_{\phi}$ of $\cP$ so that the linear complete differential resultant $\dcres_{\phi}$ associated to $\cP_{\phi}$ is nonzero. A nonzero linear differential polynomial in $\id$ is obtained from the lowest degree term of $\dcres_{\phi}$ and used to provide an implicitization algorithm for $\cP$.
No associations
LandOfFree
A perturbed differential resultant based implicitization algorithm for linear DPPEs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A perturbed differential resultant based implicitization algorithm for linear DPPEs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A perturbed differential resultant based implicitization algorithm for linear DPPEs will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-211232