Global attractivity of the equilibrium of for q<p

DOI10.1080/10236190500410109zbMath1099.39007OpenAlexW2148791609MaRDI QIDQ3377952

Orlando Merino, Mustafa R. S. Kulenović

Publication date: 29 March 2006

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190500410109

zbMATH Keywords

asymptotic stabilityglobal attractivitypositive equilibriumsecond order rational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

Related Items

Boundedness of solutions and stability of certain second-order difference equation with quadratic term ⋮ Dynamics of a higher-order nonlinear difference equation ⋮ Global stability of a rational difference equation ⋮ Global asymptotic behavior of \(y_{n+1}=(py_{n}+y_{n - 1})/(r+qy_{n}+y_{n - 1})\) ⋮ Boundedness and global attractivity of a higher-order nonlinear difference equation ⋮ On second-order rational difference equations, part 1 ⋮ On second-order rational difference equations, Part 2 ⋮ On third-order rational difference equations, part 1 ⋮ Global behavior of \(x_{n + 1} = (\alpha + \beta x_{n - k}) /(\gamma + x_n)\) ⋮ Convergence results on a second-order rational difference equation with quadratic terms ⋮ When does local asymptotic stability imply global attractivity in rational equations?

Cites Work

• Coulomb systems on Riemannian manifolds and stability of matter
• The discrete dynamics of monotonically decomposable maps
• Rate of convergence of solutions of rational difference equation of second order