| 二阶微分方程亚纯解的三阶导函数的不动点 |
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| 引用本文： | 张晓梅,刘名生. 二阶微分方程亚纯解的三阶导函数的不动点[J]. 华南师范大学学报(自然科学版), 2005, 0(4): 28-33 |
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| 作者姓名： | 张晓梅 刘名生 |
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| 作者单位： | 华南师范大学数学科学学院,广东广州,510631;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： | 国家自然科学基金资助项目（10471048） |
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| 摘 要： | 研究了以亚纯函数为系数的二阶线性微分方程解的三阶导函数的不动点问题，得到了与其解的一阶、二阶导函数类似的结果．
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| 关 键 词： | 二阶线性微分方程 三阶导数 不动点 不动点收敛指数 |
| 文章编号： | 1000-5463（2005）04-0028-06 |
| 收稿时间： | 2005-01-17 |
| 修稿时间： | 2005-01-17 |
FIXED POINTS OF THREE-ORDER DERIVATIVES OF MEROMORPHIC SOLUTIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS |
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| ZHANG Xiao-mei,LIU Ming-sheng. FIXED POINTS OF THREE-ORDER DERIVATIVES OF MEROMORPHIC SOLUTIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS[J]. Journal of South China Normal University(Natural Science Edition), 2005, 0(4): 28-33 |
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| Authors: | ZHANG Xiao-mei LIU Ming-sheng |
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| Affiliation: | School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China |
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| Abstract: | The problems on the fixed points of three - order derivatives of solutions of second- order linear differential equations with meromorphic coefficients are discussed. The precise properties of the fixed points of solutions are obtained. |
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| Keywords: | second -order linear differential equation fixed point three -order derivatives exponent of convergence of fixed points |
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