English

Linear Complete Differential Resultants and the Implicitization of Linear DPPEs

Classical Analysis and ODEs 2012-04-10 v2

Abstract

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 nn linear differential polynomial parametric equations in n1n-1 differential parameters. We give necessary conditions to ensure properness of the system of differential polynomial parametric equations.

Keywords

Cite

@article{arxiv.0712.0785,
  title  = {Linear Complete Differential Resultants and the Implicitization of Linear DPPEs},
  author = {Sonia L. Rueda and J. Rafael Sendra},
  journal= {arXiv preprint arXiv:0712.0785},
  year   = {2012}
}

Comments

26 pages

R2 v1 2026-06-21T09:50:53.602Z