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常系数非齐次线性差分方程(组)求特解的新方法
引用本文:谢泽嘉,黄纯纯.常系数非齐次线性差分方程(组)求特解的新方法[J].韶关学院学报,2010,31(9):13-18.
作者姓名:谢泽嘉  黄纯纯
作者单位:华南师范大学数学科学学院,广东广州510631
摘    要:定义一种作用在形式幂级数上的算子,并结合升幂综合除法,将它应用于一类常系数非齐次线性差分方程(组)的求特解问题中.

关 键 词:升幂综合除法  差分方程组  特解  算子法

A new method of finding a particular solution to nonhomogeneous linear difference equations with constant coeffients
XIE Ze-jia,HUANG Chun-chun.A new method of finding a particular solution to nonhomogeneous linear difference equations with constant coeffients[J].Journal of Shaoguan University(Social Science Edition),2010,31(9):13-18.
Authors:XIE Ze-jia  HUANG Chun-chun
Institution:(School of Mathematical Sciences,South China Normal University,Guangzhou 510631,Guangdong,China)
Abstract:An operator is defined to act on formal power series and,by using synthetic division of ascending power,can apply to nonhomogeneous linear difference equations with constant coefficients to find a particular solution.
Keywords:synthetic division of ascending power  difference equations  particular solution  operator method
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