标题： 关于$\mathbb{C}^n$中二次三项式差分和偏微分差分方程组的整体解的特征 显示英文标题

标题： Characterization of entire solutions of systems of quadratic trinomial difference and partial differential difference equations in $\mathbb{C}^n$

摘要： 本文我们建立了关于某些二次三项式泛函方程组的有限级整函数解的存在性及其精确形式的一些结果，其中一个方程涉及$\mathbb{C}^n$和$n\in\mathbb{N}$，另外两个涉及$\mathbb{C}^2$。 我们的结果推广和改进了徐-曹\cite{Xu & Cao & 2018,Xu & Cao & 2020}和徐-蒋\cite{Xu Jiang RCSM 2022}给出的先前定理。 此外，我们还给出了一些例子以支持我们的论点。 显示英文摘要

摘要： In this paper we establish some results about the existence and precise forms of finite order entire solutions of some systems of quadratic trinomial functional equations one of which in $\mathbb{C}^n$, $n\in\mathbb{N}$ and other two in $\mathbb{C}^2$. Our results are the generalizations and improvements of the previous theorems given by Xu-Cao \cite{Xu & Cao & 2018,Xu & Cao & 2020} and Xu-Jiang \cite{Xu Jiang RCSM 2022}. Moreover, we exhibit some examples in support of our claims.