摘要
本文研究了线性微分方程解的增长性.运用值分布理论,得到方程解的增长的精确估计.进一步,讨论了上述方程解以及解的一阶,二阶导数与小函数的关系.
In this paper, we study the growth of solutions of differential equation. By using the theory of value distribution, we obtain some precise estimates of the growth of solutions of the equation. Furthermore, the relations between functions of small growth and the solutions of higher order differential equations, and their first, second derivatives are shown.
出处
《数学杂志》
CSCD
北大核心
2013年第4期591-602,共12页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(11001057)
NSF of Jiangsu Province(BK2010234)
Project of Qinglan of Jiangsu Province
关键词
线性微分方程
整函数
亚纯函数
零点收敛指数
linear differential equation
entire functions
meromorphic function
exponentof convergence of zero-sequence
