On the Forms of Meromorphic Solutions of Some Type of Non-linear Differential Equations

被引：2

作者：

Liu, Huifang ^{[1
]}

Mao, Zhiqiang ^{[2
]}

机构：

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

[2] Jiangxi Sci & Technol Normal Univ, Nanchang 330038, Jiangxi, Peoples R China

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2024年 / 24卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Nevanlinna theory; Non-linear differential equation; Differential polynomial; Meromorphic solution; NONEXISTENCE;

D O I：

10.1007/s40315-023-00509-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study meromorphic solutions f of the non-linear differential equations f(n)+P-d(z,f)=p1e(alpha 1z)+p2e(alpha 2z)+p3e(alpha 3z) , where n >= 3 is an integer, Pd(z,f) is a differential polynomial in f of degree d, p(j),alpha(j) , are non-zero constants. Assuming that d <= n-2 or d=n-1, we give the forms of meromorphic solutions with few poles of the above equations under some conditions on alpha(j),j =1, 2, 3. Some examples illustrate the possibilities of our results.

引用

页码：753 / 768

页数：16

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