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Florida Institute of Technology

Mathematics and System Engineering Faculty Publications

2009

Halanay-type inequality

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Full-Text Articles in Mathematics

Advanced Discrete Halanay-Type Inequalities: Stability Of Difference Equations, Ravi P. Agarwal, Youngho Kim, Syamal K. Sen Jan 2009

Advanced Discrete Halanay-Type Inequalities: Stability Of Difference Equations, Ravi P. Agarwal, Youngho Kim, Syamal K. Sen

Mathematics and System Engineering Faculty Publications

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.