On the asymptotic stability of linear Volterra difference equations of convolution type

DOI10.1080/10236190701264529zbMath1146.39010OpenAlexW2156857219MaRDI QIDQ5438290

Antonia Vecchio, Eleonora Messina, Saber N. Elaydi

Publication date: 23 January 2008

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

Full work available at URL: https://digitalcommons.trinity.edu/math_faculty/20

zbMATH Keywords

convolutionasymptotic stabilityVolterra difference equations

Mathematics Subject Classification ID

Related Items (12)

ESTIMATION OF PARAMETERS AND STABILITY ANALYSIS OF CORONAVIRUS PANDEMIC ⋮ Bohl–Perron-type stability theorems for linear difference equations with infinite delay ⋮ Stability and asymptotic properties of a linear fractional difference equation ⋮ Unnamed Item ⋮ Convexity of the coefficient sequence and discrete systems stability ⋮ Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method ⋮ Almost periodic solutions of Volterra difference systems ⋮ Asymptotic solutions of non-linear implicit Volterra discrete equations ⋮ A discrete equivalent of the logistic equation ⋮ Boundedness and asymptotic stability for the solution of homogeneous Volterra discrete equations ⋮ Numerical analysis of asymptotically convolution evolutionary integral equations ⋮ Existence of bounded solution of Volterra difference equations via Darbo's fixed-point theorem

Cites Work

• Unnamed Item
• Periodicity and stability of linear Volterra difference systems
• Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach
• Stability of difference Volterra equations: Direct Lyapunov method and numerical procedure
• Stability of backward differentiation formulas for Volterra integro-differential equations
• On the Stability of Linear Multistep Methods for Volterra Convolution Equations
• Asymptotic stability versus exponential stability in linear volterra difference equations of convolution type
• Stability of discrete volterra equations of hammerstein type

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