Rational Solutions of First-Order Algebraic Ordinary Difference Equations

Published 30 Jan 2019 in cs.SC, math.AC, and math.AG | (1901.11048v2)

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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