Wrongsky行列式与线性常微分方程通解的结构

Wrongsky determinant and the Structure of linear Ordinary Differential Equation's Common Solution

在讨论函数组的线性关系时,Wrongsky行列式是否为零成为函数组线性相关或线性无关的必要条件,这种必要条件在函数组条件加强为n阶线性常微分方程的一组特解后,即得到函数组线性相关或线性无关的充分且必要条件,成为确定n阶线性常微分方程的通解的结构的重要依据。

When discussing the linear relation between function group,whether the result of Wrongsky de- terminant is zero or not is the essential condition for the interrelation or uninterrelation between function group. After the condition for function group strengthens a group of special solution for a n factorial linear ordinary dif- ferential equation,the essential condition mentioned above becomes the ample and essential condition for the in- terrelation or uninter relation between function group,and becomes the important basis for determining the struc- ture of n factorial linear ordinary differential equation's Common Solution.