Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay

DOI10.4067/S0719-06462021000100109zbMath1465.39009OpenAlexW3163332857WikidataQ115481827 ScholiaQ115481827MaRDI QIDQ4988909

Ernest Yankson

Publication date: 20 May 2021

Published in: Cubo (Temuco) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0719-06462021000100109

zbMATH Keywords

instabilityexponential stabilityLyapunov functional

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability theory for difference equations (39A30)

Cites Work

• Lyapunov functionals that lead to exponential stability and instability in finite delay Volterra difference equations
• Stability and periodicity in discrete delay equations
• Exponential stability of difference equations with several delays: recursive approach
• New explicit global asymptotic stability criteria for higher order difference equations
• Boundedness and stability in nonlinear delay difference equations employing fixed point theory
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