Existence of rational solutions for q-difference Painleve equations

Abstract

This article studies properties of meromorphic solutions for several types of q-difference Painleve equations. We obtain conditions for the existence, and the form of rational solutions for two classes of q-difference Painleve equations. Also for a solution f we obtain results about the fixed points, the exponents of convergence of poles of . Our results extend previous theorems given in the references. For more information see https://ejde.math.txstate.edu/Volumes/2020/14/abstr.html