Existence of rational solutions for q-difference Painleve equations

dc.contributor.authorXu, Hong Yan
dc.contributor.authorTu, Jin
dc.date.accessioned2021-09-21T14:55:02Z
dc.date.available2021-09-21T14:55:02Z
dc.date.issued2020-02-05
dc.description.abstractThis 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationXu, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14518
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectRational solution
dc.subjectq-difference Painleve equation
dc.subjectFixed point
dc.titleExistence of rational solutions for q-difference Painleve equations
dc.typeArticle

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