충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제35권1호
  • /
  • Pages.91-101
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  • 2022
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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THE SPECTRAL DECOMPOSITION FOR FLOWS ON TVS-CONE METRIC SPACES

  • 투고 : 2021.12.29
  • 심사 : 2022.02.16
  • 발행 : 2022.02.15
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초록

We study some properties of nonwandering set Ω(𝜙) and chain recurrent set CR(𝜙) for an expansive flow which has the POTP on a compact TVS-cone metric spaces. Moreover we shall prove a spectral decomposition theorem for an expansive flow which has the POTP on TVS-cone metric spaces.

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참고문헌

  1. K. B. Lee Topological entropy of Expansive flows on TVS-cone metric spaces, J.Chungcheong Math. Soc., 34, (2021), no.3, 259-269
  2. J. S. Park and S. H. Ku, A spectral decomposition for flows on uniform space, Nonlinear Anal., 200 (2020), 1-8
  3. S. Lin and Y. Ge, Compact-valued continuous relations on TVS-cone metric spaces, Published by Faculty of Sciences and Mathematics, University of Nis, Serbia, Filomat 27 (2013), 327-332.
  4. S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc., 73 (1967), 747-817 https://doi.org/10.1090/S0002-9904-1967-11798-1