矩阵微分方程通解的待定矩阵法OA
Undetermined matrix method for the general solution of matrix differential equation
基于矩阵微分方程理论，采用待定矩阵方法，推导了非齐次项为三角函数与指数函数乘积的一类常系数矩阵微分方程的通解公式。进行了2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。丰富了矩阵微分方程的解法理论。
Based on matrix differential equation theory , and by the method of undetermined matrix , the paper is devoted to provide a general solution of finding a kind of matrix differential equation with constant coefficients, and the non-homogeneous terms of matrix differential equation are the form of the trigonometric functions multiplied by exponential function. The special cases are discussed in detail. For example, the general solution formulas are validated. …查看全部>>
吴幼明;梁丽枝;吴文峰
佛山科学技术学院数学系，广东佛山528000佛山科学技术学院数学系，广东佛山528000爱荷华威斯莱大学商业管理系，爱荷华芒特普莱森特52641
数学
矩阵微分方程待定矩阵方法通解
matrix differential equationmethod of undetermined matrixgeneral solution
《佛山科学技术学院学报（自然科学版）》 2016 (2)
1-4,16,5
广东省自然科学基金资助项目（S2013010012463）
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