Rational Solutions of First-Order Algebraic Ordinary Difference Equations
Symbolic Computation
2019-02-05 v2 Commutative Algebra
Algebraic Geometry
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.
Cite
@article{arxiv.1901.11048,
title = {Rational Solutions of First-Order Algebraic Ordinary Difference Equations},
author = {Thieu N. Vo and Yi Zhang},
journal= {arXiv preprint arXiv:1901.11048},
year = {2019}
}