算子矩阵理论与常系数线性微分方程组求解（Ⅱ）

The Theory of Operator Matrices and the Solution to the Linear Systems of Differential Equations with Constant Coefficients (Ⅱ)

给出了用待定系数法求常系数非齐次线性微分方程组特解的充要条件和公式；研究了算子多项式矩阵的因式分解和算子多项式矩阵之逆的形式幂级数展开式的应用。

By using the method of undetermined coefficients,sufficient and necessary conditions and formulae are given for solving the linear systems of nonhomogeneous differential equations with constant coefficients.The factoring and formal power series expansions of inverse matrices of operator polynomial matrices are studied and applied to solving the linear systems of differential equations with constant coefficients.Thus,several new formulae of solutions are obtained.