Asymptotic behavior in Volterra difference systems with unbounded delay

DOI10.1016/S0377-0427(99)00257-5zbMath0940.39005OpenAlexW2072616209MaRDI QIDQ1963891

Claudio Cuevas, Manuel Pinto

Publication date: 24 July 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00257-5

zbMATH Keywords

perturbationasymptoticlinear Volterra difference equation with unbounded delayweighted unbounded solutions

Mathematics Subject Classification ID

Related Items (16)

Asymptotic behaviour of nonlinear difference equations ⋮ Structured stability radii and exponential stability tests for Volterra difference systems ⋮ ASYMPTOTIC EXPANSION FOR DIFFERENCE EQUATIONS WITH INFINITE DELAY ⋮ On the boundedness of the solutions in nonlinear discrete Volterra difference equations ⋮ Semilinear functional difference equations with infinite delay ⋮ Linear attraction in quasi-linear difference systems ⋮ Almost and asymptotically almost periodic solutions of abstract retarded functional difference equations in phase space ⋮ About the behavior of solutions for Volterra difference equations with infinite delay ⋮ An asymptotic theory for retarded functional difference equations ⋮ A note on discrete maximal regularity for functional difference equations with infinite delay ⋮ Asymptotic property of linear Volterra difference systems ⋮ Exponential dichotomy and boundedness for retarded functional difference equations ⋮ Existence of periodic and almost periodic solutions of abstract retarded functional difference equations in phase spaces ⋮ Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay ⋮ Convergent solutions of linear functional difference equations in phase space ⋮ Discrete Dichotomies and Asymptotic Behavior for Abstract Retarded Functional Difference Equations in Phase Space

Cites Work

• Discrete dichotomies
• Asymptotic behavior of solutions of Poincaré recurrence systems
• Roughness of \((h,k)\)-dichotomies
• Dichotomies and asymptotic formulas for the solutions of differential equations
• Asymptotic integration of nonautonomous delay-differential systems
• Asymptotic integration of the functional differential equations \(y'(t)=a(t)y(t-r(t,y))\)
• Asymptotic solutions for second order delay differential equations
• Asymptotic Behavior of the Solutions of the Second Order Difference Equation
• Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations
• Asymptotic equivalence for difference equations with infinite delay
• Dichotomies and asymptotic solutions of nonlinear differential systems
• Representation of solutions of linear functional difference equations in phase space
• Asymptotic theory for delay differene equations
• Asymptotic Behavior of Solutions of Ordinary Difference Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic behavior in Volterra difference systems with unbounded delay