| 关于高阶整函数系数微分方程解的增长性的进一步结果 |
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| 引用本文： | 甘会林,易才凤.关于高阶整函数系数微分方程解的增长性的进一步结果[J].应用数学,2003,16(2):71-75. |
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| 作者姓名： | 甘会林 易才凤 |
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| 作者单位： | 江西师范大学数信学院,江西,南昌,330027 |
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| 摘 要： | 本文研究一类高阶整函数系数微分方程的增长性问题，当存在某个系数对方程的解的性质起主要支配作用时，得到了齐次与非齐次方程解的超级的精确估计及方程的解与小函数的关系。
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| 关 键 词： | 整函数 微分方程 解 增长性 零点收敛指数 小函数 亚纯函数 一级 超级 |
| 文章编号： | 1001-9847(2003)02-0071-05 |
| 修稿时间： | 2002年7月9日 |
Some Further Results on the Growth of Solutions of Higher Order Differential Equations with Entire Coefficients |
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| GAN Hui lin,YI Cai feng.Some Further Results on the Growth of Solutions of Higher Order Differential Equations with Entire Coefficients[J].Mathematica Applicata,2003,16(2):71-75. |
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| Authors: | GAN Hui lin YI Cai feng |
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| Abstract: | In this paper,we investigate the growth of solutions of higher order differential equations with entire coefficients.When there is one coefficient that is main dominating to the properties of the solutions,we obtain precise estimate of hyper order of solutions of the equations either homogeneous or non homogeneous and the relations between the solutions and functions with smaller growth. |
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| Keywords: | Differential equation Entire function Hyper order Function with smaller growth |
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