On a limit formula for regular iterations

DOI10.1016/J.JMAA.2016.05.068zbMath1349.39037OpenAlexW2409312090MaRDI QIDQ302044

Marek Cezary Zdun, Hojjat Farzadfard

Publication date: 4 July 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.05.068

zbMATH Keywords

iterationsSchröder functional equationregularly varying functionsregular iteration groupssemigroup of transformationssimultaneous functional equations

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12)

Related Items (4)

Bi-iterative limits used to the theory of the Schröder equation ⋮ Bi-iterative limits of a class of piecewise-linear homeomorphisms ⋮ On the semigroup property for some structured iterations ⋮ Practical tests for the Schröder equation to have a regularly varying solution

Cites Work

• Unnamed Item
• The structure of regular disjoint groups of real homeomorphisms
• The structure of disjoint groups of continuous functions
• Embeddability of homeomorphisms of the circle in set-valued iteration groups
• On set-valued iteration groups generated by commuting functions
• The structure of iteration groups of continuous functions
• A limit formula for regular iteration groups
• Regular fractional iterations
• On iterated functions with asymptotic conditions at a fixpoint
• Simultaneous Schröder/Abel equations on the topological spaces
• On a limit formula for embeddings of diffeomorphisms in regular iteration semigroups

This page was built for publication: On a limit formula for regular iterations