Rational solutions of first-order algebraic ordinary difference equations

Thieu N. Vo, Yi Zhang*

*Corresponding author for this work

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1 Citation (Scopus)

Abstract

We propose an algebraic geometric approach for studying rational solutions of first-order algebraic ordinary difference equations (AOΔEs). For an autonomous first-order AOΔE, we give an upper bound for the degrees of its rational solutions, and thus derive a complete algorithm for computing corresponding rational solutions.

Original languageEnglish
Article number102018
JournalAdvances in Applied Mathematics
Volume117
DOIs
Publication statusPublished - Jun 2020
Externally publishedYes

Keywords

  • Algebraic ordinary difference equations
  • Algorithms
  • Parametrization
  • Resultant theory
  • Separable difference equation
  • Strong rational general solutions

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