Uniform asymptotic stability in nonlinear Volterra discrete systems

DOI10.1016/S0898-1221(03)00081-6zbMath1051.39003OpenAlexW1983850932MaRDI QIDQ1827163

Paul W. Eloe, Muhammad N. Islam, Youssef N. Raffoul

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)00081-6

zbMATH Keywords

resolventnonlinear Volterra discrete systemtotal and asymptotic stability

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (10)

General theorems for stability and boundedness for nonlinear functional discrete systems ⋮ 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 ⋮ 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 asymptotic stability of delay-difference systems ⋮ Stability in nonlinear neutral difference equations ⋮ PRINCIPAL MATRIX SOLUTIONS AND VARIATION OF PARAMETERS FOR VOLTERRA INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES ⋮ Discretization scheme in Volterra integro-differential equations that preserves stability and boundedness

Cites Work

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• Periodicity and stability of linear Volterra difference systems
• Stability properties and integrability of the resolvent of linear Volterra equations
• Total Stability and Uniform Asymptotic Stability for Linear Volterra Equations
• Boundedness and Periodicity of Volterra Systems of Difference Equations
• Uniform asymptoic stability in linear volterra difference equations

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