变系数线性常微分方程组的解法研究

The Theory of Solutions of Linear Differential Equation Systems with Variable Coefficients

变系数线性微分方程组,除一阶以外,没有求解的一般方法。文(1)利用一种特殊变换研究一类方程组的解,仅对二阶和三阶情形得到若干可积类型。本文利用另一种特殊变换,对三阶和四阶情形进行研究,得到较为实用的结果,而且解法简便。

In this paper,We utilize a particular transformation to find the inte-gral form of solutions of Linear Differential Systems with Variable Coeffi-cients.For the case n=3 and n=4,the simple method is studied and theresults in practical sense are obtained.