Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation

Author:

Dang Guoqiang1ORCID,Cai Jinhua1ORCID

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Abstract

In this paper, the entire solutions of finite order of the Fermat-type differential-difference equation fz2+ckfz2=1 and the system of equations f1z2+ckf2z2=1 and f2z2+ckf1z2=1 have been studied. We give the necessary and sufficient conditions of existence of the entire solutions of finite order.

Funder

Nankai University

Publisher

Hindawi Limited

Subject

General Mathematics

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