摘要
本文主要研究了一类高阶周期系数线性微分方程解的超级,e-型级,相关性等问题,并得到了e-型级与超级之间的一些关系,以及这两种级与系数的精确关系．本文是首次使用e-型级来估计方程解的增长性,这种估计比级,超级更为精确．
In this paper we investigate the problems on the hyper-order, the e-type order, the dependence relation of solutions for a class of higher order linear differential equations with periodic coefficients, and obtain some relations between e-type order and hyper-order, and precise relations between the two orders and coefficients. In this paper, using e-type order to estimate the growth of solutions of the equations is the first, the estimation is more precise than that using the order or the hyper-order.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2006年第5期989-998,共10页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(10161006)
广东省自然科学基金资助项目(04010360)
关键词
线性微分方程
周期函数
线性无关
Linear differential equation
Periodic function
Linearly independent
