The Schröder equation and its solutions of uniformly regular variation with respect to a given function

DOI10.1080/10236198.2017.1351559zbMath1390.39067OpenAlexW2736570864MaRDI QIDQ5374290

Hojjat Farzadfard

Publication date: 10 April 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2017.1351559

zbMATH Keywords

regularly varying functionSchröder equationSzekeres function

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Iteration theory, iterative and composite equations (39B12) Monotonic functions, generalizations (26A48) Iteration of real functions in one variable (26A18)

Related Items (1)

Practical tests for the Schröder equation to have a regularly varying solution

Cites Work

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• The structure of regular disjoint groups of real homeomorphisms
• Simultaneous Schröder/Abel equations on the topological spaces
• On Koenigs' ratios for iterates of real functions
• Functional equations and the Galton-Watson process
• On invariant measures for simple branching processes
• Recent results on functional equations in a single variable, perspectives and open problems

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