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.
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@article{2363,
}
| author | = | {Lange-Hegermann, Markus}, |
| title | = | {The Differential Counting Polynomial}, |
| journal | = | {Foundations of Computational Mathematics}, |
| year | = | {2018}, |
| volume | = | {}, |
| number | = | {}, |
| pages | = | {}, |
| month | = | {Jan}, |
| note | = | {}, |