Entire solutions of certain type of nonlinear differential equations and differential-difference equations

摘要

In this paper, we investigate the transcendental entire solutions of finite order of the differential equations or differential-difference equations where p _1 , p _2 , α _1 , α _2 are nonzero constants with α _1 ≠ α_2 , and P (f) denotes a differential polynomial or differential-difference polynomial in f(z) with degree 1. And we partially answer a question proposed by Li [10] (P. Li, Entire solutions of certain type of differential equations II, J. Math. Anal. Appl. 375(2011), 310 - 319). Mathematics Subject Classification (2010). 39B32, 34M05, 30D35.