线性全微分结式与线性DPPE的隐式化
Linear Complete Differential Resultants and the Implicitization of Linear DPPEs
摘要：
定义了线性常微分多项式的有限集的线性全微分结式。研究了$n$线性微分多项式参数方程组在$n-1$微分参数下隐式方程的线性全微分结式的计算.给出了微分多项式参数方程组正确性的必要条件。
英文摘要：
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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