| 单位圆内线性齐次微分方程解与系数的关系及应用 |
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| 引用本文： | 郑秀敏,陈宗煊. 单位圆内线性齐次微分方程解与系数的关系及应用[J]. 华南师范大学学报(自然科学版), 2009, 0(2) |
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| 作者姓名： | 郑秀敏 陈宗煊 |
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| 作者单位： | 1. 华南师范大学数学科学学院,广东广州,510631;江西师范大学数学与信息科学学院,江西南昌,330022
2. 华南师范大学数学科学学院,广东广州,510631 |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
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| 摘 要： | 研究了单位圆内高阶线性齐次微分方程线性无关解与系数的关系,推广了复平面上的相关结论.
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| 关 键 词： | 单位圆 线性齐次微分方程 线性无关解 |
RELATION BETWEEN COEFFICIENTS AND SOLUTIONS OF LINEAR HOMOGENEOUS DIFFERENTIAL EQUATION IN THE UNIT DISC AND ITS APPLICATION |
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| ZHENG Xiu-min,CHEN Zong-xuan. RELATION BETWEEN COEFFICIENTS AND SOLUTIONS OF LINEAR HOMOGENEOUS DIFFERENTIAL EQUATION IN THE UNIT DISC AND ITS APPLICATION[J]. Journal of South China Normal University(Natural Science Edition), 2009, 0(2) |
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| Authors: | ZHENG Xiu-min CHEN Zong-xuan |
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| Affiliation: | 1.School of Mathematics;South China Normal University;Guangzhou 510631;China;2.Institute of Mathematics and Information Science;Jiangxi Normal University;Nanchang 330022;China |
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| Abstract: | The relation between the coefficients and solutions of linear homogeneous differential equations in the unit disc is investigated,and a similar result as that as in the complex plane is obtained. |
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| Keywords: | unit disc linear homogeneous differential equation linearly independent solution |
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