title: Entire solutions of nonlinear differential-difference equations.
abstract: In this paper, we describe the properties of entire solutions of a nonlinear differential-difference equation and a Fermat type equation, and improve several previous theorems greatly. In addition, we also deduce a uniqueness result for an entire function f(z) that shares a set with its shift [Formula: see text], which is a generalization of a result of Liu.
authors.affiliation: College of Science, China University of Petroleum, Qingdao, 266580 Shandong People's Republic of China.
authors.forename: Cuiping
authors.initials: C
authors.lastname: Li
authors.affiliation: College of Science, China University of Petroleum, Qingdao, 266580 Shandong People's Republic of China.
authors.forename: Feng
authors.initials: F
authors.lastname: Lü
authors.affiliation: Department of Mathematics, Wuyi University, Jiangmen, 529020 Guangdong People's Republic of China.
authors.forename: Junfeng
authors.initials: J
authors.lastname: Xu
keywords: Difference equation; Difference polynomials; Logarithmic order; Meromorphic function; Nevanlinna theory