The archetypal equation and its solutions attaining the global extremum

DOI10.1007/S00010-020-00762-XzbMath1472.39044OpenAlexW3110220521MaRDI QIDQ2029456

Mariusz Sudzik

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1007/s00010-020-00762-x

zbMATH Keywords

linear functional equationiterative equationarchetypal equationglobal extremumbounded continuous functionequation with rescaling

Mathematics Subject Classification ID

Functional equations for real functions (39B22)

Cites Work

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• Analysis of the archetypal functional equation in the non-critical case
• Lipschitzian solutions to linear iterative equations revisited
• Probabilistic method for a class of functional-differential equations
• On a functional equation related to a problem of G. Derfel
• Continuous solutions of iterative equations of infinite order
• On bounded continuous solutions of the archetypal equation with rescaling
• Recent results on functional equations in a single variable, perspectives and open problems

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