Sharp conditions for boundedness in linear discrete Volterra equations

DOI10.1080/10236190902932726zbMath1180.39017OpenAlexW2041269549MaRDI QIDQ3644277

István Győri, David W. Reynolds

Publication date: 3 November 2009

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

Full work available at URL: https://doi.org/10.1080/10236190902932726

zbMATH Keywords

resolventsbounded solutionsVolterra difference equationsdiscrete linear nonconvolution Volterra equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Volterra integral equations (45D05) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (8)

On the boundedness of the solutions in nonlinear discrete Volterra difference 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 discrete Volterra type equations ⋮ Asymptotic properties of solutions to second-order difference equations of Volterra type ⋮ Boundedness and asymptotic stability for the solution of homogeneous Volterra discrete equations ⋮ Numerical analysis of asymptotically convolution evolutionary integral equations ⋮ Boundedness and stability of discrete Volterra equations

Cites Work

• A survey: stability and boundedness of Volterra difference equations
• Some conditions for boundedness of solutions of difference Volterra equations
• On exact convergence rates for solutions of linear systems of Volterra difference equations†
• Asymptotic behavior of Volterra difference equations

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