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arXiv · 1901.11048

Rational Solutions of First-Order Algebraic Ordinary Difference Equations

Thieu N. Vo·Yi Zhang
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Abstract

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

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Thieu N. Vo, Yi Zhang. 2019-02-01. Rational Solutions of First-Order Algebraic Ordinary Difference Equations. https://arxiv.org/abs/1901.11048

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