两类整函数系数线性微分方程的解及其与小函数的关系  

Relations between solutions of two classes of differential equations with entire function coefficients and functions of small growth

作　　者：孙桂荣[1] 

机构地区：[1]苏州科技学院数理学院数学系,苏州215009

出　　处：《华东师范大学学报（自然科学版）》2014年第1期21-26,共6页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(11001057);江苏省自然科学基金(BK2010234)

摘　　要：运用值分布理论,讨论了两类整函系数二阶齐次线性微分方程;得到了方程的解及其一阶、二阶导数与小函数之间的关系.改进和推广了一些文献的结果.This paper was devoted to studying two classes of second order linear differential equations with entire function coefficients by using the value distribution theory. The relations between functions of small growth and the solutions of the equations, as well as, their 1st and 2nd derivatives investigated. The results improve some previous works.

关 键 词：微分方程 收敛指数 小函数 

分 类 号：O175.29[理学—数学]