Some results related to complex differential-difference equations of certain types

Kai Liu; Xianjing Dong

doi:10.4134/BKMS.2014.51.5.1453

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2014; 51(5): 1453-1467

Printed September 30, 2014

https://doi.org/10.4134/BKMS.2014.51.5.1453

Some results related to complex differential-difference equations of certain types

Kai Liu and Xianjing Dong

Nanchang University, Nanchang University

Abstract

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Abstract

In this paper, we consider the growth and existence of solutions of differential-difference equations of certain types. We also consider the differential-difference analogues of Br\"{u}ck conjecture and give a short proof on a theorem given by Li, Yang and Yi \cite{li}. Our additional purpose is to explore the similarity or difference on some problems in differential, difference and differential-difference fields.

Keywords: entire solutions, differential-difference equations, finite order

MSC numbers: Primary 39B32, 34M05, 30D35