Single-valley-extended continuous solutions for the Feigenbaum's functional equation \(f(\varphi(x))=\varphi^2(f(x))\)

DOI10.2478/dema-2014-0049zbMath1298.39021OpenAlexW2067999966MaRDI QIDQ742041

Min Zhang

Publication date: 17 September 2014

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/dema-2014-0049

zbMATH Keywords

constructive methodinitial functionFeigenbaum's functional equationsingle-valley-extended continuous solutions

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12)

Cites Work

• The general exact bijective continuous solution of Feigenbaum's functional equation
• The universal metric properties of nonlinear transformations
• On the existence of Feigenbaum's fixed point
• A complete proof of the Feigenbaum conjectures
• Quantitative universality for a class of nonlinear transformations
• Fixed points of composition operators. II
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