Periodic and asymptotically periodic solutions of systems of nonlinear difference equations with infinite delay

DOI10.1080/10236198.2013.791688zbMath1278.39020arXiv1303.6827OpenAlexW2035861805MaRDI QIDQ2869919

Murat Adivar, Halis Can Koyuncuoğlu, Youssef N. Raffoul

Publication date: 7 January 2014

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

Full work available at URL: https://arxiv.org/abs/1303.6827

zbMATH Keywords

nonlinear systemperiodicitydifference equationVolterraasymptotically periodic solutionsSchauder

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Periodic solutions of difference equations (39A23) Almost periodic solutions of difference equations (39A24)

Related Items (7)

Weighted \(S^p\)-pseudo \(S\)-asymptotic periodicity and applications to Volterra integral equations ⋮ Almost periodic solutions of Volterra difference systems ⋮ On the existence and uniqueness of \((N,\lambda )\)-periodic solutions to a class of Volterra difference equations ⋮ Qualitative analysis of nonlinear Volterra integral equations on time scales using resolvent and Lyapunov functionals ⋮ Unnamed Item ⋮ Existence of the asymptotically periodic solution to the system of nonlinear neutral difference equations ⋮ Reproducing kernel functions for difference equations

Cites Work

• Asymptotically periodic solutions of Volterra system of difference equations
• Periodicity and stability of linear Volterra difference systems
• A survey: stability and boundedness of Volterra difference equations
• Classification and existence of positive solutions of systems of Volterra nonlinear difference equations
• Existence of positive solutions of systems of Volterra nonlinear difference equations
• Stability Properties of Linear Volterra Discrete Systems with Nonlinear Perturbation
• Existence of asymptotically periodic solutions of system of Volterra difference equations
• Asymptotic equivalence for difference equations with infinite delay
• Periodic solutions of difference equations
• Existence of an Almost Periodic Solution in a Difference Equation with Infinite Delay
• General Linear Methods for Volterra Integro-differential Equations with Memory
• Asymptotic behavior of Volterra difference equations

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