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| 摘要: |
| 本文研究了复线性微分方程解的增长性问题.利用两类具有某种渐进增长性质的函数作为线性微分方程的系数，讨论了两类二阶线性微分方程解的增长性，获得了方程解为无穷级.这些结果推广了先前的一些结果. |
| 关键词: 复微分方程 整函数 无穷级 下级 渐进增长 |
| DOI： |
| 分类号:O174.5 |
| 基金项目:国家自然科学基金资助（11501142）；贵州省科学技术基金资助（黔科合J字[2015]2112号）；贵州师范大学2016年博士科研启动项目资助. |
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| SOME RESULTS ON THE GROWTH OF SOLUTIONS OF COMPLEX LINEAR DIFFERENTIAL EQUATIONS |
|
LONG Jian-ren
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| Abstract: |
| In this paper, we study the growth problem of solutions of two classes of second order linear difierential equations. By assuming their coeffcients which have the properties of asymptotic growth, we obtain that all nontrivial solutions are of inflnite order, which improves and extends previous results. |
| Key words: complex difierential equations entire functions inflnite order lower order asymptotic growth |
