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 language | English |
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Article number | 102018 |
Journal | Advances in Applied Mathematics |
Volume | 117 |
DOIs | |
Publication status | Published - Jun 2020 |
Externally published | Yes |
Keywords
- Algebraic ordinary difference equations
- Algorithms
- Parametrization
- Resultant theory
- Separable difference equation
- Strong rational general solutions