C^n 中费马型差分方程和偏微分差分方程的全解

Pub Date : 2024-03-25 DOI:10.58997/ejde.2024.26

Hong Yan Xu, Goutam Haldar

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引用次数: 0

摘要

本文研究了费马型差分方程和偏微分-差分方程的有限阶超越全解的存在性和形式。我们的结果扩展了徐操[49]、徐等[52]和郑旭[55]以前给出的定理。我们举一些例子来说明本文的内容。更多信息请参见 https://ejde.math.txstate.edu/Volumes/2024/26/abstr.html。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Entire solutions to Fermat-type difference and partial differential-difference equations in C^n

In this article, we study the existence and the form of finite order transcendental entire solutions of systems of Fermat-type difference and partial differential-difference equations in several complex variables. Our results extend previous theorems given by Xu-Cao [49], Xu et al [52], and Zheng-Xu [55]. We give some examples to illustrate the content of this article. For more information see https://ejde.math.txstate.edu/Volumes/2024/26/abstr.html

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