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On conjugacy equation in dimension one

Tom 99 / 2013

Krzysztof Ciepliński, Zbigniew Leśniak Banach Center Publications 99 (2013), 31-44 MSC: Primary 39B12; Secondary 37C15, 37E05, 37E10, 39B22, 39B72. DOI: 10.4064/bc99-0-3

Streszczenie

In this paper, recent results on the existence and uniqueness of (continuous and homeomorphic) solutions $\varphi $ of the equation $\varphi \circ f=g\circ \varphi $ ($f$ and $g$ are given self-maps of an interval or the circle) are surveyed. Some applications of these results as well as the outcomes concerning systems of such equations are also presented.

Autorzy

  • Krzysztof CieplińskiDepartment of Mathematics
    Pedagogical University
    Podchorążych 2
    30-084 Kraków, Poland
    e-mail
  • Zbigniew LeśniakDepartment of Mathematics
    Pedagogical University
    Podchorążych 2
    30-084 Kraków, Poland
    e-mail

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