On global asymptotic stability of nonlinear higher-order difference equations

DOI10.1016/j.cam.2012.01.015zbMath1247.39013OpenAlexW1979488866MaRDI QIDQ413720

Başak Karpuz, Elena Braverman

Publication date: 7 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.cam.2012.01.015

zbMATH Keywords

global asymptotic stabilitynonlinear difference equations\(\theta \)-methoddiscretizations of delay equationshigher-order difference equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Stability theory for difference equations (39A30) Numerical methods for functional-differential equations (65L03)

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Cites Work

• Attractivity and global stability for linearizable difference equations
• Global stability of some classes of higher-order nonlinear difference equations
• Exponential stability of difference equations with several delays: recursive approach
• A note on the global stability of generalized difference equations
• Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima
• Global stability for nonlinear difference equations with variable coefficients
• New explicit global asymptotic stability criteria for higher order difference equations
• Stability of non-autonomous difference equations: simple ideas leading to useful results
• Sufficient conditions for the global stability of nonautonomous higher order difference equations
• Global attractivity for a nonlinear difference equation with variable delay
• Unnamed Item

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