Existence and growth of meromorphic solutions of some nonlinear q -difference equations

摘要

In this paper, we investigate the existence of transcendental meromorphic solutions of order zero of some nonlinear q-difference equations and some more general equations. We also give some estimates on the growth of transcendental meromorphic solutions of these equations. Some examples are given to illustrate the sharpness of some of our results. MSC:30D35, 39B32.