Global stability for a delay difference equation

DOI10.1007/s12190-008-0137-1zbMath1181.39016OpenAlexW2032596643MaRDI QIDQ1032557

Mingde Xie, Hongjian Xi, Taixiang Sun

Publication date: 26 October 2009

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0137-1

zbMATH Keywords

equilibriumglobal asymptotic stabilitydelay difference equationsrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Stability theory for difference equations (39A30)

Related Items (2)

On a class of second-order nonlinear difference equation ⋮ Quantitative bounds for positive solutions of a Stević difference equation

Cites Work

• Global asymptotic stability and oscillation of a family of difference equations
• The global attractivity of a higher order rational difference equation
• Global asymptotic stability in some discrete dynamical systems
• Global asymptotic stability of a higher order nonlinear difference equation
• Quantitative bounds for the recursive sequence \(y_{n} + 1 = A + \frac {{y}_{n}}{{y}_{n-k}}\)
• The global attractivity of the rational difference equation \(y_n = \frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}\)
• Qualitative properties for a fourth-order rational difference equation
• Global behavior for a fourth-order rational difference equation
• Global asymptotic stability of a family of nonlinear recursive sequences
• Point Bifurcations and Bubbles for a Cubic Family

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