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Entire Solutions of a Certain Type of Nonlinear Differential-Difference Equations

Wen-Jie Hao , $icon-email$ Jun-Fan Chen

Abstract

The aim of the paper is to investigate all transcendental entire solutions of the following general nonlinear equation of the form $f^{n} + P_{d} (z, f) = p_{1} e^{α_{1} z} + p_{2} e^{α_{2} z}$ , where $P_{d} (z, f)$ is a differential-difference polynomial in $f$ of degree $d$ . Our result is a generalization and complement of known results obtained by Liu-Mao, Lü et al. and the references therein.

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Entire Solutions of a Certain Type of Nonlinear Differential-Difference Equations

Abstract