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

作     者：Zhiwei ZHOU Ying ZHANG Zhigang HUANG Zhiwei ZHOU;Ying ZHANG;Zhigang HUANG

作者机构：School of Mathematics Suzhou University of Science and Technology Information Construction and Management Center Suzhou University of Science and Technology 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文))

年 卷 期：2024年第44卷第2期

页      面：213-224页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 11971344) 

主　　题：transcendental entire function finite order system of differential-difference equations 

摘      要：In this paper, we will prove that the system of differential-difference equations■ 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.