摘要
对多项式系数的微分方程w’=a_0(z)+a_1(z)w+…+a_n(z)w^n(n≥3,a_n(z)(?)0)(1)文[1]首先指出其具有有限个亚纯解,文[2]证明了(1)的亚纯解个数不超过k=k(n.dega_0,…,dega_n)个。
In this paper, we give an estimation of the number of meromorphic solu-tions and linearly independent meromorphic solutions of some class ordinary differential equations with rational coefficients
