On asymptotic constancy for linear discrete summation equations

DOI10.1016/J.CAMWA.2012.05.013zbMath1268.39018OpenAlexW2081043832MaRDI QIDQ356157

David W. Reynolds

Publication date: 25 July 2013

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.05.013

zbMATH Keywords

Banach algebrasasymptotic constancyconservative matricesdiscrete equationdiscrete Volterra

Mathematics Subject Classification ID

Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items (2)

Nonlocal type asymptotic behavior for solutions of second order difference equations ⋮ Asymptotic properties of solutions to second-order difference equations of Volterra type

Cites Work

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• Long run behaviour of the autocovariance function of ARCH(\(\infty\)) models
• Asymptotic representation of the solutions of linear Volterra difference equations
• Infinite matrices of operators
• Functions of probability measures
• On admissibility of the resolvent of discrete Volterra equations
• The Inverse Matrix in Summability: Reversible Matrices
• On exact convergence rates for solutions of linear systems of Volterra difference equations†
• Admissibility for discrete Volterra equations
• Mercer's Summability Theorem

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