[1]闵小花,张红霞,易才凤.2阶微分方程的解与小函数的关系[J].江西师范大学学报(自然科学版),2014,(06):551-556.
　MIN Xiao-hua,ZHANG Hong-xia,YI Cai-feng.The Relations between Solutions of Second Order Linear Differential Equations with Functions of Small Growth[J].Journal of Jiangxi Normal University:Natural Science Edition,2014,(06):551-556.
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2阶微分方程的解与小函数的关系()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2014年06期
页码:
551-556
栏目:
出版日期:
2014-12-31

文章信息/Info

Title:
The Relations between Solutions of Second Order Linear Differential Equations with Functions of Small Growth
作者:
闵小花;张红霞;易才凤
江西师范大学数学与信息科学学院,江西 南昌,330022
Author(s):
MIN Xiao-hua；ZHANG Hong-xia；YI Cai-feng
关键词:
微分方程; 整函数; 超级; 2级收敛指数
Keywords:
differential equation; entire function; hyper-order; 2 th exponents of convergence
分类号:
O174.52
文献标志码:
A
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。
Abstract:
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.

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备注/Memo

备注/Memo:
国家自然科学基金(11171170)
更新日期/Last Update: 1900-01-01