Hong Yan Xu, Jin Tu
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.
Submitted January 13, 2019. Published February 5, 2020.
Math Subject Classifications: 39A13, 30D35.
Key Words: Rational solution; q-difference Painleve equation; fixed point.
DOI: 10.58997/ejde.2020.14
Show me the PDF file (334 KB), TEX file for this article.
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Hong Yan Xu School of Mathematics and Computer Science Shangrao Normal University Shangrao Jiangxi 334001, China email: xhyhhh@126.com |
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Jin Tu Department of Mathematics Jiangxi Normal University Nanchan, Jiangxi 330022, China email: tujin2008@sina.com |
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