Si, Jianguo; Zhang, Weinian On \(C^2\) solutions of a functional equations. (Chinese. English summary) Zbl 1015.39007 Acta Math. Sin. 41, No. 5, 1061-1064 (1998). 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. Cited in 3 Documents MSC: 39B12 Iteration theory, iterative and composite equations 39B22 Functional equations for real functions 37E05 Dynamical systems involving maps of the interval Keywords:dynamical system; iterative map; non-polynomial; \(C^2\)-smoothness; iterative functional equation PDFBibTeX XMLCite \textit{J. Si} and \textit{W. Zhang}, Acta Math. Sin. 41, No. 5, 1061--1064 (1998; Zbl 1015.39007)