常系数线性微分方程的算子解法  

Constant Coefficients Linear Differential Equation Algorithm

作　　者：杨盛祥[1] 李梅[2] 

机构地区：[1]成都电子机械高等专科学校信息与计算科学系,成都610031 [2]成都电子机械高等专科学校外语系,成都610031

出　　处：《成都电子机械高等专科学校学报》2009年第4期33-36,57,共5页Journal of Chengdu Electromechanical College

摘　　要：当非齐次项是正弦函数(或余弦函数)且算子多项式中既有D的奇次幂又有D的偶次幂时,证明了求特解的法则。对符合法则条件的情形,利用该法则,任何一个高阶常系数线性微分方程求特解的问题都可以转化为一阶微分方程来处理。When non-homogeneous term is sine （cosine） function and operator polynomial includes both even degree power and odd degree power of D, the rule of finding particular solution was proved. When conditions of the rule are satisfied, finding particular solution of higher order linear differential equation with constant coefficients can be dealt with by changing to the first-order differential equation by this rule.

关 键 词：常系数 线性微分方程 算子 逆算子 

分 类 号：O175.1[理学—数学]