2阶微分方程的解与小函数的关系  

The Relations between Solutions of Second Order Linear Differential Equations with Functions of Small Growth

作　　者：闵小花 张红霞[1] 易才凤[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2014年第6期551-556,共6页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11171170)资助项目

摘　　要：运用Nevanlinna值分布的基本理论和方法,研究了几类2阶线性微分方程的解及其导数取小函数的不同点的收敛指数,得到了方程解及其导数取小函数的不同点的收敛指数为无穷和2阶收敛指数等于解的超级的精确结果.It was investigated that the relations between solutions of second order linear differential equations and their 1 th and 2 th derivatives with the small growth functions by using the theory and the method of Nevanlinna val-ue distribution. The precision result was obtained that convergence exponents of various points of equation solutions and their derivatives fetch the small growth function is infinite and the 2 th convergence exponents with the hyper or-der of solution is equal.

关 键 词：微分方程 整函数 超级 2级收敛指数 

分 类 号：O174.52[理学—数学]