| 复微分-差分方程组的超越整函数解 |
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| 引用本文： | 刘曼莉,高凌云.复微分-差分方程组的超越整函数解[J].数学研究及应用,2017,37(3):299-306. |
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| 作者姓名： | 刘曼莉 高凌云 |
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| 作者单位： | 暨南大学数学系, 广东 广州 510632,暨南大学数学系, 广东 广州 510632 |
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| 摘 要： | 利用亚纯函数的Nevanlinna值分布理论, 我们主要研究了一类复微分-差分方程和一类复微分-差分方程组的有限级超越整函数解的存在形式, 得到两个有趣的结论. 将复微分(差分)方程的一些结论推广到复微分-差分方程(组)中.
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| 关 键 词： | 复微分-差分方程 超越整函数解 亚纯解 |
| 收稿时间： | 2016/5/9 0:00:00 |
| 修稿时间： | 2017/2/27 0:00:00 |
On Transcendental Entire Solutions of Systems of Complex Differential-Difference Equations |
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| Manli LIU and Lingyun GAO.On Transcendental Entire Solutions of Systems of Complex Differential-Difference Equations[J].Journal of Mathematical Research with Applications,2017,37(3):299-306. |
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| Authors: | Manli LIU and Lingyun GAO |
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| Institution: | Department of Mathematics, Ji''nan University, Guangdong 510632, P. R. China and Department of Mathematics, Ji''nan University, Guangdong 510632, P. R. China |
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| Abstract: | By using the Nevanlinna value distribution theory, we will mainly investigate the form of entire solutions with finite order on a type of system of differential-difference equations and a type of differential-difference equations, two interesting results are obtained. And it extends some results concerning complex differential (difference) equations to the systems of differential-difference equations. |
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| Keywords: | differential-difference equation transcendental entire solutions meromorphic functions |
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