The Differential Counting Polynomial

Markus Lange-Hegermann,
Jan 2018

The aim of this paper is a quantitative analysis of the solution set of a system of polynomial nonlinear differential equations, both in the ordinary and partial case. Therefore, we introduce the differential counting polynomial, a common generalization of the dimension polynomial and the (algebraic) counting polynomial. Under mild additional assumptions, the differential counting polynomial decides whether a given set of solutions of a system of differential equations is the complete set of solutions.

Literatur Beschaffung: Springer
author= {Lange-Hegermann, Markus},
title= {The Differential Counting Polynomial},
howpublished= {},
month= {Jan},
year= {2018},
note= {},