Volume 36 • Number 1 • 2013   • On a Conjecture Concerning Some Nonlinear Difference Equations Chang-Wen Peng and Zong-Xuan Chen Abstract. In this paper, we mainly study non-existence of infinite order entire solutions of the nonlinear difference equation of the form $$f(z)^{n}+q(z)f(z+1)=c \sin bz,$$ where $n(\geq 2)$ is an integer, $q(z)$ is a non-constant polynomial, which concerns a conjecture raised by Yang and Laine. 2010 Mathematics Subject Classification: Primary 30D35, 39A10 Full text: PDF