| 摘要: |
| 本文研究了高阶非齐次微分方程的解及其导数与小函数之间的关系.利用复分析的研究方法,获得了微分方程解取这些小函数的点的收敛指数以及二级收敛指数的估计,说明了微分方程解和小函数的关系与解的增长性密切相关. |
| 关键词: 非齐次微分方程 收敛指数 小函数 |
| DOI： |
| 分类号:O174.52 O175.12 |
| 基金项目: |
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| THE RELATION BETWEEN SOLUTIONS AND THEIR DERIVATIVES OF NONHOMOGENEOUS DIFFERENTIAL EQUATION AND SMALL FUNCTIONS |
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WU Li-hao,CHEN Zong-Xuan
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WU Li-hao1,2,CHEN Zong-Xuan2 (1. Guangzhou Auto College,South China University of Technology,Guangzhou 510800,China ) (2. Dept.of Math.,South China Normal University,Guangzhou 510631,China)
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| Abstract: |
| This article investigates the relation between solutions of nonhomogeneous differential equation and small functions. By using theory of complex analysis, we obtain some precise estimate between the solutions and the small functions. It shows that this relation is influenced by the growth of the solutions. |
| Key words: nonhomogeneous differential equation exponent of convergence small function |
