On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations

DOI10.1080/10236198.2011.595406zbMath1261.39022OpenAlexW2159888195MaRDI QIDQ4899075

Jan Čermák, Jiří Jánský, Petr Kundrát

Publication date: 4 January 2013

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

Full work available at URL: https://doi.org/10.1080/10236198.2011.595406

zbMATH Keywords

asymptotic stabilitycharacteristic polynomiallinear difference equationnumerical discretization

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items (14)

Stability switches in linear delay difference equations ⋮ Some qualitative properties of linear dynamic equations with multiple delays ⋮ On stability regions of the modified midpoint method for a linear delay differential equation ⋮ On stability regions for some delay differential equations and their discretizations ⋮ Asymptotic Stability Regions for Certain Two Parametric Full-Term Linear Difference Equation ⋮ Global asymptotic stability of a generalization of the Pielou difference equation ⋮ Delay-dependent stability criteria for neutral delay differential and difference equations ⋮ Stability and Instability Regions for a Three Term Difference Equation ⋮ Stability and exponential stability of linear discrete systems with constant coefficients and single delay ⋮ Exact versus discretized stability regions for a linear delay differential equation ⋮ Exponential stability of perturbed linear discrete systems ⋮ Stability and periodic investigations of linear planar difference systems ⋮ Explicit stability conditions for a linear trinomial delay difference equation ⋮ On a Nearly Forgotten Polynomial Result by P. Bohl

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