The existence of solutions to certain type of nonlinear difference-differential equations

Abstract

In this paper we study the entire solutions to a certain type of difference-differential equations. We also give an affirmative answer to the conjecture of Zhang et al. In addition, our results improve and complement earlier ones due to Yang-Laine, Latreuch, Liu-Lü et al. and references therein.

Keywords

• nevanlinna theory
• entire solution
• difference equation
• differential polynomial
• 34m05
• 30d35
• 39a10
• 39b32