Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 73, pp. 1-9.

Title: Entire solutions for a nonlinear differential equation
       
Authors: Jianming Qi (Shanghai Dianji Univ., China)
         Jie Ding    (Shandong Univ., Jinan, China)
	 Taiying Zhu (Shanghai Dianji Univ., China)

Abstract: 
 In this article, we study the existence of solutions to
 the differential equation
 $$
 f^n(z)+P(f)= P_1e^{h_1}+ P_2e^{h_2},
 $$
 where $n\geq 2$ is an positive integer, f is a transcendental
 entire function, $P(f)$ is a differential polynomial in f of
 degree less than or equal n-1,  $P_1, P_2$ are  small functions 
 of $e^z$, $h_1$, $h_2$ are polynomials, and $z$ is in the open 
 complex plane  $\mathbb{C}$.
 Our results extend those obtained by  Li [6,7,8].
 
Submitted July 10, 2010. Published June 15, 2011.
Math Subject Classifications: 30D35, 30D45.
Key Words: Transcendental entire functions;  Nevanlinna theory;
           differential equations.