用无限阶Toeplitz矩阵求常系数微分方程的级数解  

Series Solution of an Ordinary Differential Equation with Constant Coefficients by Infinite Teoplitz Matrix

作　　者：李大林[1] 

机构地区：[1]柳州职业技术学院基础部,广西柳州545006

出　　处：《大学数学》2007年第3期100-103,共4页College Mathematics

摘　　要：无限阶Toeplitz矩阵的属于0的特征向量可递推地求得,可表示常系数齐次微分方程的解.用它的逆可求得常系数非齐次微分方程的特解.The characteristic vectors belonging to λ= 0 of an infinite Teoplitz matrix are got transitively. The solutions of a homogeneous ordinary differential equation with constant coefficients are expressed by them. A special solution of a non-homogeneous ordinary differential equation with constant coefficients is got by its inverse matrix.

关 键 词：微分算子 无限阶Toeplitz矩阵 特征向量 级数解 

分 类 号：O175.1[理学—数学]