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Fermat型偏微差分方程组的整函数解

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Fermat型偏微差分方程组的整函数解 徐洪焱1, 杨连忠21. 上饶师范学院数学与计算机学院 上饶 334001;
2. 山东大学数学学院 济南 250100 Entire Solutions of Several Fermat Type Systems of Partial Differential Difference Equations Hong Yan XU1, Lian Zhong YANG21. School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, P. R. China;
2. Department of Mathematics, Shandong University, Ji'nan 250100, P. R. China
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摘要利用多变量Nevanlinna值分布理论与Nevanlinna理论的差分模拟结果,讨论了几类多变量复域Fermat型偏微差分方程组解的性质,得到了方程组有限超越整函数解的存在性条件与具体形式,推广改进了高凌云、曹廷彬、刘凯等人的结果,给出例子说明多变量与单变量方程组有限级超越整函数解之间的差异.
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收稿日期: 2020-04-28
MR (2010):O174
基金资助:国家自然科学基金资助项目(11561033,11371225);江西省自然科学基金(20181BAB201001)及江西省教育厅科技项目(GJJ190876,GJJ191042,GJJ190895)
作者简介: 徐洪焱,E-mail:xuhongyanxidian@126.com;杨连忠,E-mail:lzyang@sdu.edu.cn
引用本文:
徐洪焱, 杨连忠. Fermat型偏微差分方程组的整函数解[J]. 数学学报, 2021, 64(6): 909-932. Hong Yan XU, Lian Zhong YANG. Entire Solutions of Several Fermat Type Systems of Partial Differential Difference Equations. Acta Mathematica Sinica, Chinese Series, 2021, 64(6): 909-932.
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http://www.actamath.com/Jwk_sxxb_cn/CN/ http://www.actamath.com/Jwk_sxxb_cn/CN/Y2021/V64/I6/909


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