Perturbation of a globally stable steady state
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- by H. L. Smith and P. Waltman PDF
- Proc. Amer. Math. Soc. 127 (1999), 447-453 Request permission
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.References
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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
- 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
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 447-453
- MSC (1991): Primary 34C35, 34E10, 58F30
- DOI: https://doi.org/10.1090/S0002-9939-99-04768-1
- MathSciNet review: 1487341