[1]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):331-335.[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,(04):331-335.[doi:10.16357/j.cnki.issn1000-5862.2023.04.01]
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复域非线性偏微q-差分方程的超越解()
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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:
2023年04期
页码:
331-335
栏目:
数学与应用数学
出版日期:
2023-07-25

文章信息/Info

Title:
The Transcendental Solutions of Several Complex Nonlinear Partial Differential q-Difference Equations
文章编号:
1000-5862(2023)04-0331-05
作者:
徐宜会刘晓兰李艳芳徐洪焱*
(宿迁学院文理学院,江苏 宿迁 223800)
Author(s):
XU Yihui LIU Xiaolan LI Yanfang XU Hongyan*
(School of Arts and Sciences,Suqian University,Suqian Jiangsu 223800,China)
关键词:
Nevanlinna理论 偏微q-差分方程 超越 Fermat型
Keywords:
Nevanlinna theory partial differential q-Difference Equations
分类号:
TP 311
DOI:
10.16357/j.cnki.issn1000-5862.2023.04.01
文献标志码:
A
摘要:
该文利用Nevanlinna值分布理论,主要讨论了复域非线性偏微q-差分方程的解,得到了几类Fermat型偏微q-差分方程的超越整函数解的存在性条件与形式,并举例说明方程解的形式是准确的.
Abstract:
In this paper,the solutions of several complex partial differential equations are studied by making use of Nevanlinna theory with two complex variables.Some results about the existence and the forms of the transcendental entire solutions of such equations are obtained.Meantime,some examples show that our theorems are precise to some extent.

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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,(04):1.[doi:10.16357/j.cnki.issn1000-5862.2018.01.01]
[2]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.[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,(04):620.[doi:10.16357/j.cnki.issn1000-5862.2021.06.10]

备注/Memo

备注/Memo:
收稿日期:2023-06-05
基金项目:国家自然科学基金(12161074)资助项目.
通信作者:徐洪焱(1980—),男,江西乐平人,教授,博士,主要从事复分析理论及应用研究.E-mail:xhyhhh@126.com
更新日期/Last Update: 2023-07-25