摘要
本文主要证明对于有理系数的常微分方程(?)R_k(z)u^k(n≥3)其亚纯解的个数不超过一个仅依赖于n和{R_k(z)}的次数的常数k(n;α_0,α_1,…,α_n)。
In this paper,we mainly prove that for a class of ordinary differential equa-tions with rational coefficients du/dz=■R_k(z)~u^k(n≥3),the number of itsmeromorphic solutions is less than a constant k(n;α_0,α_1,…,α_n)which dependsonly on the degree of{R_k(Z)}.
出处
《晓庄学院自然科学学报》
CAS
1989年第1期16-20,共5页
Journal of Natural Science of Hunan Normal University
关键词
常微分方程
亚纯解
解
meromorphic
pole
zero point
Vandermonde determinant
solution
