충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제5권1호
  • /
  • Pages.65-74
  • /
  • 1992
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

Consequences of Lipschitz Stability

  • Choi, Sung Kyu (Department of Mathematics Chungnam National University) ;
  • Koo, Ki Shik (Department of Mathematics Taejon University) ;
  • Lee, Keon-Hee (Department of Mathematics Taejon University)
  • 투고 : 1992.04.23
  • 발행 : 1992.07.31
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초록

In this note, we show that the ${\omega}$-limit mapping is continuous and the Lipschitz constants vary continuously if the flow (x, ${\pi}$) is Lipschitz stable. Moreover we analyse the ${\omega}$-limit sets under the generalized locally Lipschitz stable flows.

키워드

과제정보

연구 과제 주관 기관 : Ministry of Eduction