[1]余民权,徐洪焱*,刘 林.几类复域偏微差分方程整函数解的存在性与形式[J].江西师范大学学报(自然科学版),2021,(06):620-624.[doi:10.16357/j.cnki.issn1000-5862.2021.06.10]
 YU Minquan,XU Hongyan*,LIU Lin.The Existence and Forms of Entire Solutions of Several Complex Partial Differential-Difference Equations[J].Journal of Jiangxi Normal University:Natural Science Edition,2021,(06):620-624.[doi:10.16357/j.cnki.issn1000-5862.2021.06.10]
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几类复域偏微差分方程整函数解的存在性与形式()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2021年06期
页码:
620-624
栏目:
复分析
出版日期:
2021-11-25

文章信息/Info

Title:
The Existence and Forms of Entire Solutions of Several Complex Partial Differential-Difference Equations
文章编号:
1000-5862(2021)06-0620-05
作者:
余民权12徐洪焱3*刘 林3
1.江西陶瓷工艺美术职业技术学院,江西 景德镇 333000; 2.南昌大学软件学院,江西 南昌 330031; 3.上饶师范学院数学与计算机科学学院,江西 上饶 334001
Author(s):
YU Minquan12XU Hongyan3*LIU Lin3
1.Jiangxi Arts and Ceramics Technology Institute,Jingdezhen Jiangxi 333000,China; 2.School of Soft,Nanchang University,Nanchang Jiangxi 330031,China; 3.School of Mathematics and Computer Science,Shangrao Normal University,Shangrao Jiangxi 334001,China
关键词:
Nevanlinna理论 偏微差分方程 整函数 有限级
Keywords:
Nevanlinna theory the partial differential difference equation entire function finite order
分类号:
O 174.52
DOI:
10.16357/j.cnki.issn1000-5862.2021.06.10
文献标志码:
A
摘要:
利用多变量Nevanlinna值分布理论、差分模拟结果与Hadamard分解定理,讨论了几类复域偏微差分方程整函数解的存在性及其形式,获得了方程具有有限级超越整函数解的存在性条件及其形式等相关定理,推广和改进了前人的结果.
Abstract:
The existence and the forms of entire solutions of several complex partial differential difference equations will be discussed in this paper by making use of the Nevanlinna theory with several complex variables,the difference analogues results and Hadamard factorization theorem.Some results about the existence and the forms of the finite order transcendental entire solutions of such equations are obtained,which are some generalization and improvements of the previous theorems.

参考文献/References:

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相似文献/References:

[1]汝 敏.Nevanlinna理论的最新进展(英文)[J].江西师范大学学报(自然科学版),2018,(01):1.[doi:10.16357/j.cnki.issn1000-5862.2018.01.01]
 RU Min.The Recent Progress in Nevanlinna Theory[J].Journal of Jiangxi Normal University:Natural Science Edition,2018,(06):1.[doi:10.16357/j.cnki.issn1000-5862.2018.01.01]
[2]徐宜会,刘晓兰,李艳芳,等.复域非线性偏微q-差分方程的超越解[J].江西师范大学学报(自然科学版),2023,(04):331.[doi:10.16357/j.cnki.issn1000-5862.2023.04.01]
 XU Yihui,LIU Xiaolan,LI Yanfang,et al.The Transcendental Solutions of Several Complex Nonlinear Partial Differential q-Difference Equations[J].Journal of Jiangxi Normal University:Natural Science Edition,2023,(06):331.[doi:10.16357/j.cnki.issn1000-5862.2023.04.01]

备注/Memo

备注/Memo:
收稿日期:2021-06-05
基金项目:国家自然科学基金(11561033)和江西省教育厅科学技术研究课题(GJJ190876)资助项目.
通信作者:徐洪焱(1980—),男,江西乐平人,教授,博士,主要从事复分析及其应用研究.E-mail:xhyhhh@126.com
更新日期/Last Update: 2021-11-25