Existence of asymptotically periodic solutions of system of Volterra difference equations

DOI10.1080/10236190802653653zbMath1180.39022OpenAlexW2075347274MaRDI QIDQ3644278

Ewa Schmeidel, Josef Diblík, Miroslava Ružičková

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/10.1080/10236190802653653

zbMATH Keywords

asymptotically periodic solutionVolterra difference system

Mathematics Subject Classification ID

Additive difference equations (39A10) Periodic solutions of difference equations (39A23)

Related Items (15)

On almost sure asymptotic periodicity for scalar stochastic difference equations ⋮ Stability and asymptotic properties of a linear fractional difference equation ⋮ Asymptotically almost periodic solution to a class of Volterra difference equations ⋮ Asymptotic properties of solutions to discrete Volterra type equations ⋮ On the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence ⋮ Unbounded solutions of the difference equation \(x_{n} = x_{n-l}x_{n-k} - 1\) ⋮ Analysis of periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-differential systems ⋮ Explicit asymptotic limits for a class of discrete Volterra equations ⋮ Weighted asymptotically periodic solutions of linear Volterra difference equations ⋮ Bounds of solutions of integrodifferential equations ⋮ Asymptotic behavior of solutions to a linear Volterra integrodifferential system ⋮ Boundedness and stability of discrete Volterra equations ⋮ Hilfer and Hadamard coupled Volterra fractional integro-differential systems with random effects ⋮ Existence of bounded solution of Volterra difference equations via Darbo's fixed-point theorem ⋮ Periodic and asymptotically periodic solutions of systems of nonlinear difference equations with infinite delay

Cites Work

• Asymptotic properties of solutions of some Volterra difference equations and second-order difference equations
• Periodic solutions of Volterra difference equations and attractivity.
• Periodic solutions of first order linear difference equations
• On exact convergence rates for solutions of linear systems of Volterra difference equations†
• Uniform asymptoic stability in linear volterra difference equations

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