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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2000, v.7 no.2, pp.129-135
Goo, Yoon-Hoe
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Abstract

We show that a compact subset M of X is asymptotically stable if and only if a strict Lyapunov function of M exists.

keywords
asymptotically stable, strict Lyapunov function

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics