| 亚纯函数系数微分方程解的复振荡性质 |
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| 引用本文： | 王腾毅.亚纯函数系数微分方程解的复振荡性质[J].井冈山大学学报（自然科学版）,2019,40(3):14-18. |
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| 作者姓名： | 王腾毅 |
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| 作者单位： | 贵州财经大学数学与统计学院,贵州,贵阳 550025 |
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| 摘 要： | 综合运用Nevanlinna值分布的理论,Wiman-Valiron的理论及其它复分析中的常用方法研究了复域上高阶微分方程解带有小函数时复振荡的性质,该文的结果将二阶情形推广到高阶情形。
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| 关 键 词： | 亚纯函数 微分方程 小函数 |
| 收稿时间： | 2019/1/18 0:00:00 |
| 修稿时间： | 2019/4/3 0:00:00 |
THE COMPLEX OSCILLATION PROPERTIES OF THE SOLUTIONSOF DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENT |
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| WANG Teng-yi.THE COMPLEX OSCILLATION PROPERTIES OF THE SOLUTIONSOF DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENT[J].Journal of Jinggangshan University(Natural Sciences Edition),2019,40(3):14-18. |
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| Authors: | WANG Teng-yi |
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| Institution: | School of mathematics and statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, China |
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| Abstract: | In this paper, we mainly use the Nevanlinna value distribution theory, complex oscillation properties of Wiman-Valiron theory and other complex analysis method to study the characteristics of higher order ordinary differential equation with a small function in complex domain.The results of this paper extend the second-order case to the higher-order case. |
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| Keywords: | meromorphic function differential equation small function |
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