东南大学学报（英文版）2003，Vol.19Issue(1)：98-102,5.
关于代数微分方程的超越整解的增长性
On the growth of transcendental entire solutions of algebraic differential equations
朱玲妹 1杨德贵 2王小灵1
作者信息
- 1. 南京经济学院应用数学系,南京,210003
- 2. 华南农业大学理学院,广州,510642
- 折叠
摘要
Abstract
In this paper, we investigate the growth of transcendental entire solutions of the following algebraic differential equation a(z)f ′2+(b 2(z)f2+b1(z)f+b0(z))f ′=d3(z)f3+d2(z)f2+d 1(z)f+d0(z), where a(z), bi(z) (0≤I≤2) and dj(z) (0≤j≤3) are all polynomials, and this equation relates closely to the following well -known algebraic differential equation C(z,w)w′2+B(z,w)w′+A(z,w)=0, where C(z,w)0, B(z,w) and A(z,w) are three polynomials in z and w. We give relationships between the growth of entire solutions and the degrees of the above three polynomials in detail.关键词
代数微分方程/次数/整解Key words
algebraic differential equation/degree/entire solutions分类
数理科学引用本文复制引用
朱玲妹,杨德贵,王小灵..关于代数微分方程的超越整解的增长性[J].东南大学学报（英文版）,2003,19(1):98-102,5.
