Diagonal dominance and harmless off-diagonal delays

Hofbauer, Josef; So, Joseph

doi:10.1090/S0002-9939-00-05564-7

Diagonal dominance and harmless off-diagonal delays
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by Josef Hofbauer and Joseph W.-H. So PDF

Proc. Amer. Math. Soc. 128 (2000), 2675-2682 Request permission

Abstract:

Systems of linear differential equations with constant coefficients, as well as Lotka–Volterra equations, with delays in the off–diagonal terms are considered. Such systems are shown to be asymptotically stable for any choice of delays if and only if the matrix has a negative weakly dominant diagonal.

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