On a Family of Circle Homeomohphisms with One Break Point

Authors

  • Karshiboev Khayrullo Kilichovich
    Kilichovich@gmail.co
    Candidate of Physical and Mathematical Sciences, Associate Professor, Head of the Department of Higher Mathematics, Samarkand Institute of Economics and Service

this article, we study a one-parameter family of circle homeomorphisms with one break point. It is proved that in the case of a rational rotation number the number of periodic trajectories does not exceed two.