| 龚翌晖,杨祺.Fermat 型 q - 差分微分方程组的整函数解[J].数学年刊A辑,2025,46(3):281~298 |
| Fermat 型 q - 差分微分方程组的整函数解 |
| Entire Solutions to a System of Fermat-Type q-Difference-Differential Equations |
| Received:August 21, 2024 Revised:September 09, 2025 |
| DOI：10.16205/j.cnki.cama.2025.0017 |
| 中文关键词: 差分微分方程，整函数解，Nevanlinna 理论，Fermat 型方程 |
| 英文关键词:Difference-differential equations, Entire solutions, Nevanlinna theory, Fermat-type equations
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| 基金项目:新疆维吾尔自治区自然科学基金(No.2024D01A91)和国家自然科学基金(Nos.11961068,
12561039)的资助. |
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| 中文摘要: |
| 本文研究了一类 Fermat 型 q - 差分微分方程组的整函数解存在性问题，得到了整函数解的具体形式，推广了已有结果。 |
| 英文摘要: |
| In this paper, the authors investigate the existence of entire solutions to a system of Fermat-type q-difference-differential equations and obtain the exact form of the entire solutions. In addition, the results generalise the conclusions obtained by the previous. |
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