On forbidden sets
Francisco Balibrea, Antonio Cascales
TL;DR
This paper reviews and consolidates recent research on forbidden sets in difference equations, offering new perspectives and outlining open problems for future exploration.
Contribution
It synthesizes existing methods for describing forbidden sets and proposes novel viewpoints and open questions to advance the field.
Findings
Reviewed various approaches to forbidden sets
Identified gaps and inconsistencies in current methods
Proposed new research directions and open problems
Abstract
In recent literature there are an increasing number of papers where the forbidden sets of difference equations are computed. We review and complete different attempts to describe the forbidden set and propose new perspectives for further research and a list of open problems in this field.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Nonlinear Differential Equations Analysis · Advanced Differential Equations and Dynamical Systems