On The Zero-Free Solutions of Linear Periodic Differential Equations In The Complex Plane

On The Zero-Free Solutions of Linear Periodic Differential Equations In The Complex Plane
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DOI:
10.1007/bf03322009
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发表时间:
2000-11
影响因子:
2.2
通讯作者:
Y. Chiang
Y. Chiang
中科院分区:
数学3区
文献类型:
--
作者:
Y. Chiang

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本文研究了Bank和Laine[6]引入的线性周期微分方程的解。1986年,Bank提出了一种求解若干少零周期微分方程的方法。本文提供了处理无零解的替代方法,我们得到了更精确的结果。我们的结果补充了班克的方法。我们还精确地给出了b[4]中Bank的相关结果。
The paper considers the solutions of linear periodic differential equations introduced by Bank and Laine [6]. In [3] Bank proposed a method to solve certain periodic differential equations with few zeros. The current paper offers alternative methods to deal with zero-free solutions and we obtain more precise results. Our results complement Bank’s method. We also make precise a related result of Bank in [4].