Continuous and discrete Halanay-type inequalities

2000/06/01 by S. Mohamad, K. Gopalsamy · 3 citations
Mathematics · Medicine · Engineering · #Nonlinear Differential Equations Analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Stability and Controllability of Differential Equations

paper · pdf · doi:10.1017/s0004972700022413

Abstract

We consider continuous time and discrete time Halanay-type inequalities for nonautonomous scalar systems with discrete and distributed delays. The results obtained generalise the existing results of Halanay and improve certain results of Baker and Tang. Furthermore, it is shown that the discrete time inequalities which are analogues of continuous time inequalities preserve the stability conditions corresponding to the continuous time Halanay-type inequalities.

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