| 两类复微分-差分方程组的整函数解 |
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| 引用本文： | 高凌云.两类复微分-差分方程组的整函数解[J].数学学报,2016,59(5):677-684. |
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| 作者姓名： | 高凌云 |
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| 作者单位： | 暨南大学数学系 广州 510632 |
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| 摘 要： | 利用Nevanlinna值分布理论以及复差分和复微分理论,讨论了两类复微分-差分方程组的有限级超越整函数解问题,得到了两个结果,并将涉及微分或差分方程的某些结果推广至复微分-差分方程组中.
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| 关 键 词： | 微分-差分方程 整函数解 亚纯函数 |
Entire Solutions of Two Types of Systems of Complex Differential-Difference Equations |
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| Ling Yun GAO.Entire Solutions of Two Types of Systems of Complex Differential-Difference Equations[J].Acta Mathematica Sinica,2016,59(5):677-684. |
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| Authors: | Ling Yun GAO |
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| Affiliation: | Department of Mathematics, Jinan University, Guangzhou 510632, P. R. China |
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| Abstract: | By Nevanlinna theory of the value distribution, and the theory of complex differential and complex difference, we will mainly investigate entire solutions with finite order of two types of systems of differential-difference equations, and obtain two results. It extends some results concerning complex differential (difference) equations to the systems of differential-difference equations. |
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| Keywords: | Differential-difference equation entire solution meromorphic functions |
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