函数矩阵e^(A(t))与变系数线性微分方程组初值解的表达式

THE FUNCTIONAL MATRIX e^(A(t)) AND THE EXPRESSION OF THE INITIAL VALUE FOR LINEAR SYSTEM OF DIFFERENTIAL EQUATIONS WITH NON-CONSTANT COEFFICIENT

利用函数矩阵eA(t)分别给出常系数微分方程组和满足一定条件的变系数线性方程组初值解的表达式.对求变系数线性方程的初值解,给出了几个充分条件.对具体实例的求解给出了一般算法,并用Matlab编程实现.

This article distinguishes to an initial value for linear system of differential equations with constant coefficient and conditional with non- constant coefficient. The article gives several sufficient conditions to get the initial value for linear system of differential equations with non - constant coefficient. And begs the solution of specific linear system of differential equations with the use of Matlab, at the same time, giving a general calculate way.