On solvability of \(f(p(x))=q(f(x))\) for given real functions \(p,q\).

DOI10.1007/s00010-015-0392-9zbMath1342.08002OpenAlexW2223446864MaRDI QIDQ291272

Oldřich Kopeček

Publication date: 7 June 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-015-0392-9

zbMATH Keywords

functional equationshomomorphisms of mono-unary algebrasstrictly increasing continuous real functions

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Unary algebras (08A60) Numerical methods for functional equations (65Q20)

Related Items (2)

The solvability of \(f(p(x)) = q(f(x))\) for given strictly monotonous continuous real functions \(p\), \(q\) ⋮ Sandwich results for periodicity and conjugacy

Cites Work

• \(| End A | = | Con A | = | Sub A | = 2^{| A|}\) for any uncountable 1-unary algebra
• Über Abbildungen von Mengen
• Transformation and canonical forms of functional-differential equations
• Homomorphisms of partial unary algebras
• Equation f(p(x)) = q(f(x)) for given real functions p, q
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