摘要
利用常系数齐次线性微分方程的特征多项式、特征方程和特征根,求对应常系数非齐次线性微分方程的特解,得到了方程特解存在的一个充要条件,并举例说明它的应用.
Using the homogeneous linear differential equation with constant coefficients of the characteristic polynomial,characteristic equation and characteristic root,the corresponding constant coefficient non-homogeneous linear differential equations special solution are solved,a necessary and sufficient condition for the existence of solutions of the equation are obtained,and its applications are illustrated.
作者
王明建
胡博
陈守信
Wang Mingjian;Hu Bo;Chen Shouxin(School of Mathematics and Statistics,Zhengzhou Normal University,Zhengzhou 450044,China;College of Science,Henan University of Technology,Zhengzhou 450002,China;School of Mathematics and Statistics,Henan University,Kaifeng 475000,Henan China)
出处
《河南科学》
2017年第1期1-3,共3页
Henan Science
基金
国家自然科学基金项目(11161018)
关键词
常系数
非齐次线性微分方程
特征多项式
特征方程
特征根
充要条件
constant coefficient
non-homogeneous linear differential equations
characteristic polynomial
characteristic equation
characteristic root
sufficient and necessary conditions
