作 者: ;
机构地区: 华南师范大学南海校区学院数学系
出 处: 《数学学报(中文版)》 2006年第5期989-998,共10页
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.