Journal of Inequalities and Applications (Mar 2009)

Advanced Discrete Halanay-Type Inequalities: Stability of Difference Equations

DOI
https://doi.org/10.1155/2009/535849
Journal volume & issue
Vol. 2009

Abstract

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We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequalities can be used as basic tools in the study of the global asymptotic stability of the equilibrium of certain generalized difference equations.