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Zbl 0952.34058
Hofbauer, Josef; So, Joseph W.-H.
Diagonal dominance and harmless off-diagonal delays. (English)
[J] Proc. Am. Math. Soc. 128, No.9, 2675-2682 (2000). ISSN 0002-9939; ISSN 1088-6826/e

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.
[Marcos Lizana (Merida)]

MSC 2000:: *34K20 Stability theory of functional-differential equations
34K06 Linear functional-differential equations
34A30 Linear ODE and systems

Keywords: delay equation; diagonal dominance; asymptotic stability

Cited in: Zbl 1162.92333

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