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Feb 10, 2020 at 14:27 comment added JustaRegularSchroedinger Alexandre, thank you very much! I think I need to study a little more the theory of topological conjugacy, as there are some points that I don't fully understand. By adding slightly more stringent conditions (i.e. A() and B() continuous and f derivable) is it possible to find a solution to the problem? Otherwise, what are the typical hypotheses to solve it? (if they exist) Eventually, could you suggest me a book or article that could help me in understanding better how to solve the problem? Again, thanks a lot!
Feb 10, 2020 at 13:09 history answered Alexandre Eremenko CC BY-SA 4.0