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Diagonal dominance and harmless off-diagonal delays
Author(s):
Josef
Hofbauer;
Joseph
W.-H.
So
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2675-2682.
MSC (1991):
Primary 34K20
Posted:
February 28, 2000
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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.
References:
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Additional Information:
Josef
Hofbauer
Affiliation:
Institut für Mathematik, Universität Wien, A-1090 Wien, Austria
Email:
Josef.Hofbauer@univie.ac.at
Joseph
W.-H.
So
Affiliation:
Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G~2G1
Email:
joseph.so@ualberta.ca
DOI:
10.1090/S0002-9939-00-05564-7
PII:
S 0002-9939(00)05564-7
Received by editor(s):
October 23, 1998
Posted:
February 28, 2000
Additional Notes:
This research was partially supported by NSERC of Canada, grant number OGP36475.
Communicated by:
Hal L. Smith
Copyright of article:
Copyright
2000,
American Mathematical Society
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