Asymptotic behaviour of nonlinear difference equations

DOI10.1080/10236198.2011.574619zbMath1277.39025OpenAlexW2088657859MaRDI QIDQ3165730

István Győri, Ferenc Hartung

Publication date: 19 October 2012

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

Full work available at URL: https://doi.org/10.1080/10236198.2011.574619

zbMATH Keywords

asymptotic behaviourdiscrete population modelexponential growth/decaynonlinear Volterra difference equation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Additive difference equations (39A10) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items

Asymptotic properties of solutions to second-order difference equations of Volterra type ⋮ Exponential stability of a class of nonlinear difference equations in Banach spaces ⋮ A novel approach to exponential stability of nonlinear non-autonomous difference equations with variable delays

Cites Work

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• Sharp conditions for existence of nontrivial invariant cones of nonnegative initial values of difference equations
• Periodically forced Pielou's equation
• Periodic points and stability in Clark's delayed recruitment model
• Asymptotically exponential solutions in nonlinear integral and differential equations
• Stability and asymptoticity of Volterra difference equations: a progress report
• A delayed-recruitment model of population dynamics, with an application to baleen whale populations
• A note on difference-delay equations
• Introduction to functional differential equations
• The asymptotic stability of \(x_{n+1}-ax_ n+bx_{n-k}=0\)
• Asymptotic behavior of a nonhomogeneous linear recurrence system
• The limits of the solutions of a nonautonomous linear delay difference equation
• Asymptotic formulae for nonlinear functional difference equations
• The behavior of solutions of linear Volterra difference equations with infinite delay
• On the stability and uniform persistence of a discrete model of Nicholson's blowflies
• Asymptotic behavior in Volterra difference systems with unbounded delay
• Global attractivity of \(x_{n+1} = (1-\alpha) x_{n}+\beta e^{-\gamma} x_{n-k}\)
• Periodic solutions, oscillation and attractivity of discrete nonlinear delay population model
• Global stability in discrete population models with delayed-density dependence
• On linear Volterra difference equations with infinite delay
• Asymptotic property of linear Volterra difference systems
• On global stability in a nonlinear discrete model
• Global attractivity and presistence in a discrete population model^*
• Convergence to equilibria in discrete population models