| 复振荡中的辐角分布 |
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| 引用本文： | 吴昭君,孙道椿. 复振荡中的辐角分布[J]. 数学学报, 2007, 50(6): 1297-130. DOI: CNKI:SUN:SXXB.0.2007-06-013 |
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| 作者姓名： | 吴昭君 孙道椿 |
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| 作者单位： | 咸宁学院数学系，华南师范大学数学科学学院 咸宁 437100 华南师范大学数学科学学院 广州 510631，广州 510631 |
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| 基金项目： | 国家自然科学基金(10471048)，咸宁学院研究项目(KZ0629，KT0623) |
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| 摘 要： | 利用熊庆来的无限级型函数和庄圻泰的关于无限级Borel方向的一个等价条件,建立了二阶和高阶微分方程解的零点聚值线和Borel方向之间的关系.所得结论推广了伍胜健等人的结果.
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| 关 键 词： | 无限级型函数 Borel方向 零点收敛指数 |
| 文章编号： | 0583-1431（2007）06-1297-08 |
| 收稿时间： | 2005-11-25 |
| 修稿时间： | 2005-11-25 |
On Angular Distribution in Complex Oscillation |
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| Zhao Jun WU,Dao Chun SUN. On Angular Distribution in Complex Oscillation[J]. Acta Mathematica Sinica, 2007, 50(6): 1297-130. DOI: CNKI:SUN:SXXB.0.2007-06-013 |
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| Authors: | Zhao Jun WU Dao Chun SUN |
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| Affiliation: | 1.Department of Mathematics, Xianning University, Xianning 437100, P. R. China;2.School of Mathematics Science, South China Normal University, Guangzhou 510631, P. R. China;3.School of Mathematics Science, South China Normal University, Guangzhou 510631, P. R. China |
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| Abstract: | In this paper,by using the infinity order type function of Xiong Qinglai's and a sufficient and necessary condition for infinity order Borel direction which was established by Chuang Chitai,the angular distribution of the solutions of differential equations with entire coefficients is discussed,the connection of location of zeros of the solution of second order or higher order differential equation et al.the Borel direction is established,which can be regarded as an alternatiue version of Wu Shengjian et al. |
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| Keywords: | infinity order type function Borel direction the exponent of convergence of zero-sequence |
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