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Bulletin of the London Mathematical Society 1994 26(5):455-458; doi:10.1112/blms/26.5.455
© 1994 by London Mathematical Society
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© London Mathematical Society

On the Global Stability of Cooperative Systems

Jiang Ji-Fa

Department of Mathematics Anhui Normal University Wuhu, Anhui P. R. China

Received 5 October 1992. Revision received 2 July 1993.

Suppose that F is a C1 cooperative vector field on X, where X = Rn or Int Formula, or [[p, q]]. We prove that the unique equilibrium of F is globally asymptotically stable if and only if every forward semi-orbit has compact closure in X.


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