Global behaviour of a second order nonlinear difference equation
Ignacio Bajo, Eduardo Liz
TL;DR
This paper investigates the long-term behavior and stability of solutions to a specific second order nonlinear difference equation, providing insights into its asymptotic properties.
Contribution
It offers a detailed analysis of the asymptotic behavior and stability criteria for solutions of a second order rational difference equation.
Findings
Characterizes the asymptotic behavior of solutions.
Establishes stability conditions for equilibrium points.
Provides criteria for convergence or divergence.
Abstract
We describe the asymptotic behaviour and the stability properties of the solutions to a second order rational difference equation.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Nonlinear Differential Equations Analysis · Fractional Differential Equations Solutions