摘要
本文研究了高阶非齐次微分方程的解及其导数与小函数之间的关系.利用复分析的研究方法,获得了微分方程解取这些小函数的点的收敛指数以及二级收敛指数的估计,说明了微分方程解和小函数的关系与解的增长性密切相关.
This article investigates the relation between solutions of nonhomogeneous differential equation and small functions. By using theory of complex analysis, we obtain some precise estimate between the solutions and the small functions. It shows that this relation is influenced by the growth of the solutions.
出处
《数学杂志》
CSCD
北大核心
2011年第1期69-74,共6页
Journal of Mathematics
关键词
非齐次微分方程
收敛指数
小函数
nonhomogeneous differential equation
exponent of convergence
small function
