Advanced discrete Halanay-type inequalities: Stability of difference equations

DOI10.1155/2009/535849zbMath1279.39008OpenAlexW2041045182WikidataQ59249420 ScholiaQ59249420MaRDI QIDQ1008478

Ravi P. Agarwal, Young-Ho Kim, Syamal K. Sen

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1155/2009/535849

Mathematics Subject Classification ID

Stability theory for difference equations (39A30)

Related Items (8)

A new generalization of Halanay-type inequality and its applications ⋮ Moment stability of nonlinear discrete stochastic systems with time-delays based on \(\mathcal{H}\)-representation technique ⋮ Stability of solutions to one class of nonlinear systems of delay difference equations ⋮ Halanay type inequalities on time scales with applications ⋮ Sharp estimation for the solutions of delay differential and Halanay type inequalities ⋮ Exponential stability of discrete-time uncertain neural networks with multiple time-varying leakage delays ⋮ Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model ⋮ Analytical and numerical dissipativity of neutral functional differential equations

Cites Work

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• Differential equations: Stability, oscillations, time lags
• Continuous and discrete Halanay-type inequalities
• Stability and existence of multiple periodic solutions for a quasilinear differential equation with maxima
• On the discretization of a delay differential equation

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