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Title: Measures of growth of discrete rational equations
Author: Al-Ghassani, Asma Said Ahmed
Awarding Body: Loughborough University
Current Institution: Loughborough University
Date of Award: 2010
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The general scope of this thesis is aimed at investigating certain classes of discrete equations through the analysis of certain characteristics of the solutions of these equations. We construct new methods of analysis based on the growth of these characteristics that let us single out known integrable discrete equations from certain class of equations. These integrable discrete equations are discrete analogues of the famous Painleve equations.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Discrete rational equations ; Diophantine integrability ; Height ; Rational functions ; Degree of rational functions ; Ultra-discrete equations ; Max-plus Nevanlinna characteristic function ; Order