二阶矩阵微分方程通解的按列比较法  

Column Comparison Method for the General Solution of Second-order Matrix Differential Equation

作　　者：吴幼明[1] 严意君 吴文峰 

机构地区：[1]佛山科学技术学院数学系,广东佛山528000 [2]爱荷华威斯莱大学商业管理系,爱荷华芒特普莱森特52641

出　　处：《许昌学院学报》2016年第2期24-27,共4页Journal of Xuchang University

基　　金：广东省自然科学基金资助项目(S2013010012463)

摘　　要：基于矩阵微分方程理论采用按列比较方法,导出了非齐次项为Af″(x)-Bf(x)=t(x)次多项式的一类常系数矩阵微分方程的递推形式通解公式;进行两种特殊情况的讨论,利用算例验证矩阵微分方程通解公式的正确性.Based on matrix differential equation theory, the column comparison method was adopted to deduce general recursion formula of a type of matrix differential equation with constant coefficients. The non-homogeneous term of the equation is Af″（x） -Bf（x） = t（x） polynomial. Two special cases were discussed in detail and the general formula of matrix differential equation was validated by cases.

关 键 词：矩阵微分方程 按列比较方法 通解 

分 类 号：O241.8[理学—计算数学]