摘要
对于系数是复常数的Riccati微分方程,y'=py2+qy+r,其中p=a+bi,q=c+di,r=e+f i是复数,a,b,c,d,e,f∈R,i是虚单位,且pr≠0,得到了此类方程解存在的一些条件,并给出了相关的应用.
In this paper, for the Riccati differential equation of y＇ = py2 ＋ qy ＋ r with complex coefficient, among them p = a ＋ bi,q = c ＋ di and r = e ＋fi are complex numbers, a, b,c,d, e, f∈ R,i is a virtual unit and pr≠0. Some conditions for the existence of solutions of these equa- tions are obtained, and the related applications are given.
出处
《西安文理学院学报（自然科学版）》
2016年第3期34-36,共3页
Journal of Xi’an University(Natural Science Edition)
基金
国家自然科学基金项目(11161018)
关键词
复常数
RICCATI微分方程
解存在条件
应用
complex coefficient
Riccati differential equation
solution existence condition
application
