Linearized stability analysis of discrete Volterra equations

DOI10.1016/j.jmaa.2004.02.019zbMath1055.39020OpenAlexW2045664088MaRDI QIDQ596719

Yihong Song, Christopher T. H. Baker

Publication date: 10 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.02.019

zbMATH Keywords

stabilityfundamental matrixasymptotic stabilitydiscrete Volterra equationsresolvent matrix

Mathematics Subject Classification ID

Related Items (16)

Unnamed Item ⋮ Existence and boundedness of solutions for nonlinear Volterra difference equations in Banach spaces ⋮ On the boundedness of the solutions in nonlinear discrete Volterra difference equations ⋮ Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method ⋮ Asymptotic solutions of non-linear implicit Volterra discrete equations ⋮ A discrete equivalent of the logistic equation ⋮ Asymptotic properties of solutions of difference equations with several delays and Volterra summation equations ⋮ Asymptotic properties of solutions to second-order difference equations of Volterra type ⋮ Non-negative convergent solutions of discrete Volterra equations ⋮ Nonlinear stability of direct quadrature methods for Volterra integral equations ⋮ Sense from sensitivity and variation of parameters ⋮ On asymptotic stability of delay-difference systems ⋮ Admissibility for discrete Volterra equations ⋮ On the asymptotic behaviour of Volterra difference equations ⋮ On exact convergence rates for solutions of linear systems of Volterra difference equations† ⋮ Almost periodic solutions of discrete Volterra equations

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