Work

On Transcendental Entire Solutions of System of Non-Linear Complex Differential-Difference Equations

Year: 2026

Type: article

Abstract: Using Nevanlinna theory of the value distribution of meromorphic functions, we investigate the problem of transcendental entire solutions of one type of system of complex differential-difference equations, and provide the explicit form of all transcendental entire function solutions to the system of equations, as well as several existence conditions for the system. In fact, we consider a broader class of system, which contains the corresponding system for equation studied in the reference Scientia Sinica Mathematica 2019, 49 by Liu and Gao. These findings extend the existing results of complex differential (difference) equations to the systems of differential-difference equations.

Source: International Journal of Analysis and Applications

DOI: 10.28924/2291-8639-24-2026-368

Authors: Chuangxin Chen, Ranran Zhang, Baoqin Chen

Institutions: Zhongkai University of Agriculture and Engineering, Guangdong University of Education, Guangdong Ocean University

Language: English

Topic: Meromorphic and Entire Functions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $450

Funder: National Natural Science Foundation of China