Bohl–Perron-type stability theorems for linear difference equations with infinite delay

DOI10.1080/10236198.2010.531276zbMath1252.39017arXiv1009.6163OpenAlexW2167800206MaRDI QIDQ2895655

Elena Braverman, Illya M. Karabash

Publication date: 4 July 2012

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

Full work available at URL: https://arxiv.org/abs/1009.6163

zbMATH Keywords

exponential stabilityuniform stabilityphase spaceBanach spaceinfinite delaydifference equationlinear difference systemsPerron's property

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items

Structured stability radii and exponential stability tests for Volterra difference systems, Exponential stability of Itô-type linear functional difference equations, On Exponential Stability of Volterra Difference Equations with Infinite Delay, Bohl theorem for Volterra equation, Robust stability for implicit dynamic equations with causal operators on time scales, A discrete Gronwall-Halanay-type inequality with infinite delay and its applications to difference equations, On the robust stability of Volterra differential-algebraic equations, Input-output criteria for stability and expansiveness of dynamical systems, Bohl-Perron type stability theorems for linear singular difference equations, Stability of solutions of systems of linear Itô difference equations with aftereffect with respect to the initial data, On exponential stability of nonlinear Volterra difference equations in phase spaces, On stability, Bohl exponent and Bohl–Perron theorem for implicit dynamic equations, Stability of solutions of linear difference Itô equations with aftereffect

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