Existence of bounded solution of Volterra difference equations via Darbo's fixed-point theorem

DOI10.1080/10236198.2013.769974zbMath1281.39001OpenAlexW2035019095MaRDI QIDQ2855231

Ewa Schmeidel, Tomasz Gronek

Publication date: 24 October 2013

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

Full work available at URL: https://doi.org/10.1080/10236198.2013.769974

zbMATH Keywords

boundednessperiodicitymeasures of non-compactnesslinear Volterra difference equationDarbo's fixed-point theorem

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Linear difference equations (39A06)

Related Items (7)

Dynamic local and nonlocal initial value problems in Banach spaces ⋮ Asymptotic properties of solutions to second-order difference equations of Volterra type ⋮ On the existence of weighted asymptotically constant solutions of Volterra difference equations of nonconvolution type ⋮ On the asymptotic behavior of solution of certain systems of Volterra equations ⋮ Asymptotic behavior of solutions of discrete Volterra equations ⋮ Boundedness and stability of discrete Volterra equations ⋮ Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type

Cites Work

• An application of Darbo's fixed point theorem in the investigation of periodicity of solutions of difference equations
• Boundedness of solutions of difference systems with delays
• On the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence
• Asymptotically periodic solutions of Volterra system of difference equations
• Stability and asymptoticity of Volterra difference equations: a progress report
• On exact convergence rates for solutions of linear systems of Volterra difference equations†
• Existence of asymptotically periodic solutions of system of Volterra difference equations
• On the asymptotic stability of linear Volterra difference equations of convolution type

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