摘要
本文研究了高阶代数微分方程解的增长级的问题.利用亚纯函数的Nevanlinna值分布理论和微分方程的一些技巧,得到了一个更精确和更一般的结论,推广了何育赞和Laine的一些理论.
This paper investigates the problem of the growth of solution of higher-order algebraic differential equations. Using the Nevanlinna value distribution theory of meromorphic functions and some skills of differential equations theory, we obtain a result which is more precise and more general, and extend the theories of He and Laine .
出处
《数学杂志》
CSCD
北大核心
2014年第1期17-24,共8页
Journal of Mathematics
基金
Supported by NSF of China(10471065)
the Natural Science Foundation of Guangdong Province(04010474)
关键词
增长级
代数体函数
代数微分方程
the growth
algebroid function
algebraic differential equations
