Non-Existence of Entire Solution of a Type of System of Equations

Zhiwei ZHOU ¹Ying ZHANG ²Zhigang HUANG¹

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作者信息

1. School of Mathematics,Suzhou University of Science and Technology,Jiangsu 215009,P.R.China
2. Information Construction and Management Center,Suzhou University of Science and Technology,Jiangsu 215009,P.R.China
折叠

Abstract

In this paper,we will prove that the system of differential-difference equations｛(f(z)f'(z))n+p21(z)gm(z+η)=Q1(z),(g(z)g'(z))n+p22(z)fm(z+η)=Q2(z),has no transcendental entire solution(f(z),g(z))with ρ(f,g)＜∞ such that λ(f)＜ρ(f)andλ(g)＜ρ(g),where P1(z),Q1(z),P2(z)and Q2(z)are non-vanishing polynomials.

Key words

transcendental entire function/finite order/system of differential-difference equa-tions

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基金项目

National Natural Science Foundation of China(11971344)

出版年

2024

数学研究及应用

大连理工大学

数学研究及应用

CSCD

影响因子：0.094

ISSN：2095-2651

参考文献量17

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