| 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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| 引用本文： | 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),2021,0(6):620-624. |
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| 作者姓名： | 余民权 徐洪焱 刘 林 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | Nevanlinna理论 偏微差分方程 整函数 有限级 |
The Existence and Forms of Entire Solutions of Several Complex Partial Differential-Difference Equations |
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| YU Minquan,' target="_blank" rel="external">,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 Sciences Edition),2021,0(6):620-624. |
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| Authors: | YU Minquan " target="_blank">' target="_blank" rel="external"> XU Hongyan LIU Lin |
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| Institution: | 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 |
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| 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. |
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| Keywords: | Nevanlinna theory the partial differential difference equation entire function finite order |
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