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On \(C^2\) solutions of a functional equations. (Chinese. English summary) Zbl 1015.39007
Summary: Concerning iterative equations higher smoothness is a difficult problem. As an exploration in this paper the \(C^2\) smoothness of solutions of an iterative functional equation, more general than polynomial-like ones, is discussed.

MSC:
39B12 Iteration theory, iterative and composite equations
39B22 Functional equations for real functions
37E05 Dynamical systems involving maps of the interval (piecewise continuous, continuous, smooth)
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