| ON THE GROWTH OF THE SOLUTIONS FOR 1ST KIND OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN THE UNIT DISC |
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| 作者姓名： | Feng Chun |
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| 作者单位： | Math. and Applied Math. Institute of Chongqing Jiaotong University，Chongqing 400074 |
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| 摘 要： | In this paper, we study the growth of the solutions for 1st kind of differential equations of higher order in the unit disc. We give a sufficient condition for all solutions of second order linear differential equation to be inadmissible and a sufficient condition for all solutions of higher order linear differential equation to be of infinite order.
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| 关 键 词： | 高阶微分方程 单位圆盘 亚纯函数 增长性 |
ON THE GROWTH OF THE SOLUTIONS FOR 1ST KIND OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN THE UNIT DISC |
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| Feng Chun.ON THE GROWTH OF THE SOLUTIONS FOR 1ST KIND OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN THE UNIT DISC[J].微分方程年刊(英文版),2005,21(3):268-270. |
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| Authors: | Feng Chun |
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| Institution: | Math. and Applied Math. Institute of Chongqing Jiaotong University, Chongqing 400074 |
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| Abstract: | In this paper, we study the growth of the solutions for 1st kind of differential equations of higher order in the unit disc. We give a sufficient condition for all solutions of second order linear differential equation to be inadmissible and a sufficient condition for all solutions of higher order linear differential equation to be of infinite order. |
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| Keywords: | unit disc differential equation growth |
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