摘要
用微分算子级数法求解自由项为ｆｉ（ｔ）∈ｅλｔｐｍ（ｔ）的线性微分方程组（λ∈Ｚ，ｐｍ（ｔ）是ｔ的ｍ次多顶式）。首先介绍解法的理论根据，然后举例。这个方法的特点：①用逆算子的部分分式直接求齐次方程组的通解；②当自由项ｆｉ（ｔ）∈ｅλｐｍ（ｔ）时。
This paper introduced the differentiator series method to solve the group of linear ordinary differential equation with free term fi(t)∈ eλ t pm(t)(λ ∈ z,pm(t) is polynomial of degree m) first,the theories of solution were introduced,next,examples.The specialities of the method are to obtain geneeral solution of homogeneous differential equation using partial fraction expansion of inverse operator and when free term fi(t)∈ eλ tpm(t) of nonhomogeneous linear differential equation to obtain special solution using differentiator series method or the quality of inverse operator,without the enlightenment of other scientific knowledge
出处
《重庆建筑大学学报》
CSCD
1996年第3期123-130,共8页
Journal of Chongqing Jianzhu University
关键词
微分算子级数法
自由项
全解
线性微分方程组
the group of linear ordinary differential equation,differentiator series method,free term,complete solution
