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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2000, v.7 no.2, pp.129-135
Goo, Yoon-Hoe

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: Theoretical Mathematics and Pedagogical Mathematics