Entire functions of two classes of nonlinear difference equations

Abstract

In this paper, we find the entire solutions of two classes of nonlinear difference equations when the solution is an exponential polynomial by using the new obtained Clunie Lemma. Some examples are given to show the existence of the solutions.

Entire Solutions Of Certain Non-Linear Differential-Difference Equations

“…Further, Lü et al [13] studied a non-linear differential-difference equation for n = 3, which was slight general form of (5). Recently Xu and Rong studied a non-linear difference equation for n = 2, see [15]. Motivated by the above results, we are dealing with non-linear difference equation, which is as follows:…”