Existence of rational solutions for q-difference Painleve equations

oleh: Hong Yan Xu, Jin Tu

Format: Article
Diterbitkan: Texas State University 2020-02-01

Deskripsi

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 $f,\Delta_q f,(\Delta_qf)/f$. Our results extend previous theorems given in the references.