Global asymptotic stability in a perturbed higher-order linear difference equation.

DOI10.1016/S0898-1221(03)00084-1zbMath1053.39017MaRDI QIDQ1827178

Mihály Pituk

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

global asymptotic stabilitylinear difference equationperturbed equation

Mathematics Subject Classification ID

Related Items (14)

Bohl–Perron-type stability theorems for linear difference equations with infinite delay ⋮ Stability analysis of nonautonomous difference systems with delaying arguments ⋮ Sufficient conditions for the global stability of nonautonomous higher order difference equations ⋮ Almost local stability in discrete delayed chaotic systems ⋮ Nonuniform behavior and stability of Hopfield neural networks with delay ⋮ Absolute stability of discrete-time systems with delay ⋮ On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations ⋮ New stability conditions for linear difference equations using Bohl–Perron type theorems ⋮ Sufficient conditions for the exponential stability of nonautonomous difference equations ⋮ On the behaviour of nonautonomous difference equations ⋮ On explicit conditions for the asymptotic stability of linear higher order difference equations ⋮ On the stability of nonautonomous difference equations ⋮ Asymptotic behavior of solutions of nonlinear higher-order neutral type difference equations ⋮ Boundedness and Stability for Higher Order Difference Equations^*

Cites Work

• Theory of functional differential equations. 2nd ed
• Weighted convergent and bounded solutions of difference systems
• Global attractivity in a perturbed linear delay differential equation
• Global attractivity in a delay difference equation
• Asyptotics for linear difference equations I:basic theory
• On the Stability of Ordinary Differential Equations
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