Properties of meromorphic solutions to certain differential-difference equations. (English) Zbl 1293.39001

Qi, Xiaoguang; Yang, Lianzhong

Electron. J. Differ. Equ. 2013, Paper No. 135, 9 p. (2013).

Summary: We consider the properties of meromorphic solutions to certain type of non-linear difference equations. Also we show the existence of meromorphic solutions with finite order for differential-difference equations related to the Fermat type functional equation. This article extends earlier results by K. Liu et al. [Arch. Math. 99, No. 2, 147–155 (2012; Zbl 1270.34170)].

MSC:

39A10	Additive difference equations
39A45	Difference equations in the complex domain
39B32	Functional equations for complex functions
30D35	Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Keywords:

differential-difference equation; meromorphic solution; entire solution; finite order; nonlinear difference equations; Fermat-type functional equation

Citations:

Zbl 1270.34170