Asymptotic periodicity of nonlinear discrete Volterra equations and applications

DOI10.1080/10236198.2011.581664zbMath1254.39005OpenAlexW2089498415MaRDI QIDQ3165733

Hermann Brunner, Angelamaria Cardone, Ida Del Prete

Publication date: 19 October 2012

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

Full work available at URL: https://doi.org/10.1080/10236198.2011.581664

zbMATH Keywords

numerical resultsVolterra integral equations\(\theta\)-methodsconvolution kernelasymptotically periodic solutionsepidemic diffusionAP-stabilitynonlinear discrete Volterra equations of Hammerstein type

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Volterra integral equations (45D05) Periodic solutions of difference equations (39A23)

Related Items (4)

Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations ⋮ Multistep collocation methods for Volterra integro-differential equations ⋮ Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution ⋮ High order exponentially fitted methods for Volterra integral equations with periodic solution

Cites Work

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• Asymptotically periodic solutions to Volterra integral equations in epidemic models
• Periodicity and stability of linear Volterra difference systems
• Periodic solutions of discrete Volterra equations.
• Asymptotically almost periodic solutions of nonlinear Volterra difference equations with unbounded delay
• Perturbation Theory for Discrete Volterra Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations

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