On the existence of weighted asymptotically constant solutions of Volterra difference equations of nonconvolution type

DOI10.3934/dcdsb.2014.19.2681zbMath1304.39015OpenAlexW2312875033MaRDI QIDQ478757

Tomasz Gronek, Ewa Schmeidel, Karol Gajda

Publication date: 4 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2014.19.2681

zbMATH Keywords

periodic solutionslinear equationVolterra difference equationoscillatorynonoscillatory

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Oscillation theory for difference equations (39A21)

Related Items (4)

Asymptotic properties of solutions to second-order difference equations of Volterra type ⋮ On the asymptotic behavior of solution of certain systems of Volterra equations ⋮ Boundedness and stability of discrete Volterra equations ⋮ Some stability conditions for scalar Volterra difference equations

Cites Work

• Boundedness of solutions of difference systems with delays
• On the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence
• Weighted asymptotically periodic solutions of linear Volterra difference equations
• Asymptotic properties of solutions of difference equations with several delays and Volterra summation equations
• Asymptotic representation of the solutions of linear Volterra difference equations
• Existence of bounded solution of Volterra difference equations via Darbo's fixed-point theorem
• On exact convergence rates for solutions of linear systems of Volterra difference equations†
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