Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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)
  • Received : 1992.04.23
  • Published : 1992.07.31
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Abstract

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.

Keywords

Acknowledgement

Supported by : Ministry of Eduction