摘要
Ｒｉｃｃａｔｉ方程一般没有初等解．但当它有初等解时，解很可能是代数曲线解．给出了Ｒｉｃｃａｔｉ方程存在二次代数曲线解的充要条件。
Generally,Riccati equation has no elementary solutions,but when it has elementary solutions the solutions possibly are the algebraic curve solutions.The sufficient and necessary condition,of Riccati equation with second order algebraic curve solutions,and its solving method are given.
出处
《北京航空航天大学学报》
EI
CAS
CSCD
北大核心
1997年第2期252-256,共5页
Journal of Beijing University of Aeronautics and Astronautics
关键词
黎卡提方程
代数曲线
充要条件
常微分方程
Riccati equation
algebraic curve solution
sufficient and necessary condition
polynomial system
