一类整系数Riccati微分方程特解的求法  

Methods of Special Solution at Some Integrol Coefficients Riccati Differential Equations

作　　者：闫淑霞[1] 王明建[2] 

机构地区：[1]郑州师范学院初等教育部,河南郑州450044 [2]郑州师范学院数学系,河南郑州450044

出　　处：《西安文理学院学报（自然科学版）》2011年第3期40-42,共3页Journal of Xi’an University(Natural Science Edition)

摘　　要：对一类系数为整式函数的Riccati微分方程,首先给出求此类方程特解存在的充要条件,再用初等方法求其特解,最后结合实例给出应用说明.This paper finds special solution of a kinds polynomial function Integrol coefficients Riccati Differential Equations. We discuss the necessary and sufficient conditions and apply the elementary method for getting the special solution of the equation. Examples are also provided for the illustrating the application.

关 键 词：整系数 RICCATI微分方程 特解 存在性 充要条件 

分 类 号：O175.5[理学—数学]