一类三阶矩阵微分方程的通解  

General Solutions to the A-Class of Third-Order Matrix Differential Equation

作　　者：吴幼明[1] 林晓莹 吴文峰 WU You-ming;LIN Xiao-ying;WU Wen-feng(Department of Mathematics,Foshan University,Foshan 528000,Guangdong,China;Department of Mathematics,University of Dayton,Dayton 45469,America)

机构地区：[1]佛山科学技术学院数学系,广东佛山528000 [2]代顿大学数学系,俄亥俄代顿45469

出　　处：《韶关学院学报》2019年第3期1-3,共3页Journal of Shaoguan University

摘　　要：基于矩阵微分方程理论,采用降阶和欧拉方法,给出了一类不含二阶导数项的二维三阶常系数齐次矩阵微分方程的通解公式,利用算例验证了通解公式的正确性.Based on the matrix differential equation theory,by the methods of reduced order and Euler,the general solution to one kind of two-dimensional third order ordinary coefficient differential equations without second derivative are given,and the correctness of the solution is verified by an example.

关 键 词：矩阵 微分方程 通解公式 

分 类 号：O241.8[理学—计算数学]