| 高阶非齐次微分方程的解及其导数与小函数的关系 |
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| 引用本文： | 吴丽镐,陈宗煊.高阶非齐次微分方程的解及其导数与小函数的关系[J].数学杂志,2011,31(1):69-74. |
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| 作者姓名： | 吴丽镐 陈宗煊 |
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| 作者单位： | 1. 华南理工大学广州汽车学院,广东,广州510800;华南师范大学数学科学学院,广东,广州510631
2. 华南师范大学数学科学学院,广东,广州510631 |
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| 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.
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| 关 键 词： | 非齐次微分方程 收敛指数 小函数 |
THE RELATION BETWEEN SOLUTIONS AND THEIR DERIVATIVES OF NONHOMOGENEOUS DIFFERENTIAL EQUATION AND SMALL FUNCTIONS |
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| WU Li-hao,CHEN Zong-Xuan.THE RELATION BETWEEN SOLUTIONS AND THEIR DERIVATIVES OF NONHOMOGENEOUS DIFFERENTIAL EQUATION AND SMALL FUNCTIONS[J].Journal of Mathematics,2011,31(1):69-74. |
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| Authors: | WU Li-hao CHEN Zong-Xuan |
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| Institution: | 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. |
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| Keywords: | nonhomogeneous differential equation exponent of convergence small function |
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