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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Perturbation of a globally stable steady state


Authors: H. L. Smith and P. Waltman
Journal: Proc. Amer. Math. Soc. 127 (1999), 447-453
MSC (1991): Primary 34C35, 34E10, 58F30
MathSciNet review: 1487341
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Abstract: It is shown that within a parameterized family of semi-dynamical systems enjoying a mild uniform dissipative condition, the property that a locally asymptotically stable steady state is globally attracting is an open condition in the parameters.


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Additional Information

H. L. Smith
Affiliation: Department of Mathematics, Arizona State University, Tempe, Arizona 85287–1804
Email: halsmith@asu.edu

P. Waltman
Affiliation: Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322
Email: waltman@mathcs.emory.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04768-1
PII: S 0002-9939(99)04768-1
Received by editor(s): May 20, 1997
Additional Notes: The first author was supported by NSF Grant DMS 9300974, and the second author was supported by NSF Grant DMS 9424592 and an award from the University Research Council of Emory University
Communicated by: Linda Keen
Article copyright: © Copyright 1999 American Mathematical Society