| 2阶微分方程的解与小函数的关系 |
| |
| 引用本文： | 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, 0(6): 551-556 |
| |
| 作者姓名： | 闵小花 张红霞 易才凤 |
| |
| 作者单位： | 江西师范大学数学与信息科学学院,江西 南昌,330022 |
| |
| 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。
|
| 关 键 词： | 微分方程 整函数 超级 2级收敛指数 |
The Relations between Solutions of Second Order Linear Differential Equations with Functions of Small Growth |
| |
| 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 Sciences Edition), 2014, 0(6): 551-556 |
| |
| Authors: | MIN Xiao-hua ZHANG Hong-xia YI Cai-feng |
| |
| Affiliation: | MIN Xiao-hua;ZHANG Hong-xia;YI Cai-feng;College of Mathematic and Informatics,Jiangxi Normal University; |
| |
| 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. |
| |
| Keywords: | differential equation entire function hyper-order 2 th exponents of convergence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《江西师范大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《江西师范大学学报(自然科学版)》下载全文 |
