FORMS OF ENTIRE SOLUTIONS OF PARTIAL DIFFERENTIAL DIFFERENCE EQUATIONS WITH CONSTANT COEFFICIENTS

被引：0

作者：

Ding, Xin ^{[1
,2
]}

Zheng, Xiu Min ^{[1
,2
]}

机构：

[1] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Peoples R China

[2] Jiangxi Normal Univ, Jiangxi Prov Ctr Appl Math, Nanchang 330022, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 37期

基金：

中国国家自然科学基金;

关键词：

Nevanlinna theory; entire solution; existence;

D O I：

10.58997/ejde.2024.37

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. The purpose of this article is to describe the transcendental entire solutions of quadratic trinomial partial differential equations (PDDEs) with constant coefficients. We establish theorems on the forms of finite order transcendental entire solutions for such PDDEs, which generalize and improve previous theorems. Some examples confirm the existence and the forms of transcendental entire solutions with finite order of such equations.

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页码：1 / 15

页数：15

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