一类二阶矩阵微分方程的特解  

Particular Solutions of One Kind of Two Order Matrix Differential Equation

作　　者：吴幼明[1] 林嫘蕾 

机构地区：[1]佛山科学技术学院理学院,广东佛山528000

出　　处：《四川理工学院学报（自然科学版）》2013年第4期84-89,共6页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11126340);佛山科学技术学院创新团队项目(09X001)

摘　　要：对于一类特殊的二阶矩阵微分方程,给定特解的具体形式,利用向量比较方法解出了待定的系数矩阵,获得了一类矩阵微分方程的特解公式,推广了已有的结果。并用算例验证了结果的正确性。A special two order matrix differential equation is discussed. Giving the specific form of the particular solu- tion, the matrix of the undetermined coefficients is solved by the method of vector comparison, and the particular solution for- mulas of a kind of matrix differential equation are obtained, which is a popularization of the known results. Moreover, the results are validated by practical examples.

关 键 词：矩阵微分方程 待定矩阵法 向量比较法 特解 

分 类 号：O241.8[理学—计算数学]