Existence of rational solutions for q-difference Painleve equations
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Date
2020-02-05
Authors
Xu, Hong Yan
Tu, Jin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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 ƒ, Δqƒ, (Δqƒ)/ƒ. Our results extend previous theorems given in the references.
Description
Keywords
Rational solution, q-difference Painleve equation, Fixed point
Citation
Xu, H. Y., & Tu, J. (2020). Existence of rational solutions for q-difference Painleve equations. <i>Electronic Journal of Differential Equations, 2020</i>(14), pp. 1-14.