Uniform asymptoic stability in linear volterra difference equations

DOI10.1080/10236199808808097zbMath0891.39013OpenAlexW2080576695MaRDI QIDQ4380490

Satoru Murakami, Saber N. Elaydi

Publication date: 10 May 1998

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

Full work available at URL: https://doi.org/10.1080/10236199808808097

zbMATH Keywords

uniform asymptotic stabilitybounded solutionslinear Volterra difference equations of nonconvolution type

Mathematics Subject Classification ID

Related Items (26)

General theorems for stability and boundedness for nonlinear functional discrete systems ⋮ Stability criteria for Volterra integrodynamic system ⋮ Asymptotic constancy of solutions of linear parabolic Volterra difference equations ⋮ Exponential Stability in Non-linear Difference Equations ⋮ Boundedness and Stability in Nonlinear Discrete Systems With Nonlinear Perturbation ⋮ Asymptotic stability in totally nonlinear neutral difference equations ⋮ Necessary and sufficient conditions for periodic decaying resolvents in linear discrete convolution Volterra equations and applications to \(\mathrm{ARCH}(\infty)\) processes ⋮ Linearized stability analysis of discrete Volterra equations ⋮ A discrete equivalent of the logistic equation ⋮ Stability And Boundedness In Nonlinear And Neutral Difference Equations using New Variation of Parameters Formula And Fixed Point Theory ⋮ STABILITY IN TOTALLY NONLINEAR DELAY DIFFERENCE EQUATIONS ⋮ On the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence ⋮ Asymptotically almost periodic solutions of nonlinear Volterra difference equations with unbounded delay ⋮ Stability properties and existence theorems of pseudo almost periodic solutions of linear Volterra difference equations ⋮ Boundedness and asymptotic stability for the solution of homogeneous Volterra discrete equations ⋮ New stability conditions for linear difference equations using Bohl–Perron type theorems ⋮ Weighted asymptotically periodic solutions of linear Volterra difference equations ⋮ Asymptotically periodic solutions of Volterra system of difference equations ⋮ Stability in nonlinear neutral difference equations ⋮ Uniform asymptotic stability and robust stability for positive linear Volterra difference equations in Banach lattices ⋮ Perturbation Theory for Discrete Volterra Equations ⋮ Existence of asymptotically periodic solutions of system of Volterra difference equations ⋮ Perturbation of Volterra Difference Equations ⋮ Uniform asymptotic stability in nonlinear Volterra discrete systems ⋮ On construction of almost periodic sequences and applications to some discrete population models ⋮ Stability Properties of Linear Volterra Discrete Systems with Nonlinear Perturbation

Cites Work

• Unnamed Item
• Stability properties of linear Volterra equations
• Periodicity and stability of linear Volterra difference systems
• Total Stability and Uniform Asymptotic Stability for Linear Volterra Equations
• Asymptotic stability versus exponential stability in linear volterra difference equations of convolution type

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