Abstract: In a previous work we have proved an inversion formula for a linear differential polynomial, which has interesting applications. In this paper we investigate the case of a system of linear differential polynomials and prove, by a different method, a system of inversion formulas which contains the above mentioned inversion formula as a particular case, and of which we shall give an application.

Key words: system of inversion formulas, system of linear differential equations

摘要： 证明了关于一组线性微分多项式的一组反演公式并给出了应用。

关键词: 反演公式组, 线性微分方程组