摘要
应用微分算子以及λ-矩阵的理论.给出了一般常系数线性微分方程组解存在的充要条件,并给出了求解公式及基础解系.从而完整地解决了该类方程组的求解问题。
Nesessary and sufficient conditions for the exitance of the solutions of the
linear ordinary differential equation systems with constant coefficients are given by the
differential operator and the theorem of the ()-matrix. Then the formulae of the solutions and
basic set of solutions of these equation systems are given. Four examples are provided.
关键词
常系数
线性微分方程组
微分算子
解
微分方程
linear ofdinary differential equation systems with constant coefficients, λ-matrix,differential operator
