| 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 |
| 复微分-差分方程组的超越整函数解 |
| On Transcendental Entire Solutions of Systems of Complex Differential-Difference Equations |
| 投稿时间：2016-05-09 修订日期：2017-02-27 |
| DOI：10.3770/j.issn:2095-2651.2017.03.007 |
| 中文关键词: 复微分-差分方程 超越整函数解 亚纯解 |
| 英文关键词:differential-difference equation transcendental entire solutions meromorphic functions |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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