| 单位圆内二阶线性微分方程的解及其导数的不动点 |
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| 引用本文： | 甘会林,孔荫莹.单位圆内二阶线性微分方程的解及其导数的不动点[J].江西师范大学学报(自然科学版),2008,32(6). |
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| 作者姓名： | 甘会林 孔荫莹 |
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| 作者单位： | 广东商学院数学与计算科学学院,广东,广州,510320 |
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| 基金项目： | 国家自然科学基金(10471048)资助项目 |
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| 摘 要： | 讨论了系数是单位圆内解析函数的二阶齐次和非齐次线性微分方程的解及其一阶导数和二阶导数的不动点问题，得到了不动点收敛指数与方程系数的增长级的关系．
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| 关 键 词： | 线性微分方程 增长级 不动点 收敛指数 |
The Fixed Points of Solutions and Derivatives of Solutions of Second Order Linear Differential Equations in the Unit Disc |
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| GAN Hui-lin,KONG Yin-ying.The Fixed Points of Solutions and Derivatives of Solutions of Second Order Linear Differential Equations in the Unit Disc[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2008,32(6). |
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| Authors: | GAN Hui-lin KONG Yin-ying |
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| Institution: | School of Mathematics and Computer Science;Guangdong Business College;Guangzhou 510320;China |
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| Abstract: | This paper investigates the fixed points of solutions of second order homogeneous and non-homogeneous linear differential equations whose coefficients are analytic functions in the unit disc.We obtain the relationship between the convergence exponent of fixed points and the growth of the coefficients. |
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| Keywords: | linear differential equation order of the growth fixed point convergence exponent |
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