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.