Explicitly Solvable Systems of First-Order Difference Equations With Homogeneous Polynomial Right-Hand Sides

In this short paper we identify special systems of (an arbitrary number) N of first-order Difference Equations with nonlinear homogeneous polynomials of arbitrary degree M in their right-hand sides, which feature very simple explicit solutions. A novelty of these findings is to consider special syst...

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Bibliographic Details
Published in:arXiv.org 2021-08
Main Authors: Calogero, Francesco, Farrin Payandeh
Format: Article
Language:English
Subjects:
Difference equations
Mathematical analysis
Polynomials
Online Access:Get full text
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Summary:In this short paper we identify special systems of (an arbitrary number) N of first-order Difference Equations with nonlinear homogeneous polynomials of arbitrary degree M in their right-hand sides, which feature very simple explicit solutions. A novelty of these findings is to consider special systems characterized by constraints involving both their parameters and their initial data
ISSN:2331-8422