| 方成鸿,徐洪焱.Fermat型复微分--差分方程的整函数解*[J].数学年刊A辑,2022,43(1):1~16 |
| Fermat型复微分--差分方程的整函数解* |
| Entire Solutions of Several Fermat Type Systems of Complex Differential-Difference Equations |
| Received:February 24, 2021 Revised:October 18, 2021 |
| DOI：10.16205/j.cnki.cama.2022.0001 |
| 中文关键词: 复微分--差分方程, 整函数, 存在性 |
| 英文关键词:Complex differential-difference equations, Entire function, Existence |
| 基金项目:国家自然科学基金(No.12161074) |
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| 中文摘要: |
| 利用值分布理论,研究了一类Fermat型复微分--差分方程与复微分--差分方程组,得到有限级超越整函数解的存在条件与具体形式,推广改进了高凌云、刘凯、曾翠萍等人的结果. |
| 英文摘要: |
| In this paper, the authors discuss several Fermat type systems of complex di?erential-di?erence equations by applying the Nevanlinna theory of value distribution, and obtain results about the existence and the forms of entire solutions of such systems, which are some improvements of the results given by Gao, Liu, Zeng et al. |
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