Diagonal dominance and harmless off-diagonal delays

Authors:
Josef Hofbauer and Joseph W.-H. So

Journal:
Proc. Amer. Math. Soc. **128** (2000), 2675-2682

MSC (1991):
Primary 34K20

DOI:
https://doi.org/10.1090/S0002-9939-00-05564-7

Published electronically:
February 28, 2000

MathSciNet review:
1707519

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Abstract | References | Similar Articles | Additional Information

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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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:
https://doi.org/10.1090/S0002-9939-00-05564-7

Received by editor(s):
October 23, 1998

Published electronically:
February 28, 2000

Additional Notes:
This research was partially supported by NSERC of Canada, grant number OGP36475.

Communicated by:
Hal L. Smith

Article copyright:
© Copyright 2000
American Mathematical Society