Discrete Halanay-type inequalities and applications.

DOI10.1016/j.na.2003.07.013zbMath1033.39012OpenAlexW2148186251MaRDI QIDQ1413958

Juan Bosco Ferreiro, Eduardo Liz, Anatoli F. Ivanov

Publication date: 17 November 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.07.013

zbMATH Keywords

difference equationsglobal asymptotic stabilityHalanay inequality

Mathematics Subject Classification ID

Related Items (24)

Moment stability of nonlinear discrete stochastic systems with time-delays based on \(\mathcal{H}\)-representation technique ⋮ Multiplicity results for periodic solutions to second-order difference equations ⋮ Sufficient conditions for the global stability of nonautonomous higher order difference equations ⋮ A nonlinear version of Halanay's inequality for the uniform convergence to the origin ⋮ A discrete Gronwall-Halanay-type inequality with infinite delay and its applications to difference equations ⋮ A discrete retarded Gronwall–Bellman type inequality and its applications to difference equations ⋮ A constructive comparison technique for determining the asymptotic behaviour of linear functional differential equations with unbounded delay ⋮ Asymptotic behaviors of non-autonomous impulsive difference equation with delays ⋮ New stability conditions for linear difference equations using Bohl–Perron type theorems ⋮ Stability and synchronization analysis of neural networks via Halanay-type inequality ⋮ Exponential stability of discrete-time uncertain neural networks with multiple time-varying leakage delays ⋮ Global stability in difference equations satisfying the generalized Yorke condition ⋮ Global stability of some classes of higher-order nonlinear difference equations ⋮ On explicit conditions for the asymptotic stability of linear higher order difference equations ⋮ Development and application of Halanay-type theory: Evolutionary differential and difference equations with time lag ⋮ Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model ⋮ Advanced discrete Halanay-type inequalities: Stability of difference equations ⋮ Stability of non-autonomous difference equations: simple ideas leading to useful results ⋮ New discrete type inequalities and global stability of nonlinear difference equations ⋮ Asymptotic behavior of Volterra difference equation ⋮ A global convergence criterion for higher order nonlinear difference equations with applications ⋮ Analytical and numerical dissipativity of neutral functional differential equations ⋮ 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

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• Delay differential equations: with applications in population dynamics
• Existence and stability of almost periodic solutions for quasilinear delay systems and the Halanay inequality
• A note on the global stability of generalized difference equations
• Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima
• Differential equations: Stability, oscillations, time lags
• THE STRANGE ATTRACTOR OF THE LOZI MAPPING
• Continuous and discrete Halanay-type inequalities
• Stability and existence of multiple periodic solutions for a quasilinear differential equation with maxima

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