Open question on lower order iterative roots for PM functions

DOI10.1080/10236198.2018.1437152zbMath1390.39072OpenAlexW2791079708MaRDI QIDQ5374293

Lin Li, Liu Liu, Wei Nian Zhang

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/10.1080/10236198.2018.1437152

zbMATH Keywords

iterative rootnonmonotonicity heightPM functionabsorbing lap

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05)

Related Items

Iterative roots of type \(\mathcal{T}_2\) ⋮ The non-iterates are dense in the space of continuous self-maps ⋮ Iterative square roots of functions ⋮ Iterative roots of PM functions extended from the characteristic interval ⋮ Hyers-Ulam stability of an iterative equation for strictly increasing continuous functions ⋮ Topological classifications for a class of 2-dimensional quadratic mappings and an application to iterative roots

Cites Work

• Koenigs embedding flow problem with global \(C^{1}\) smoothness
• Non-monotonic iterative roots extended from characteristic intervals
• Iterative roots of piecewise monotonic functions of nonmonotonicity height not less than 2
• Limit sets and square roots of homeomorphisms
• Construction of usc solutions for a multivalued iterative equation of order \(n\)
• Fractional iterates for \(n\)-dimensional maps
• One-dimensional functional equations
• Progress of iteration theory since 1981
• On fractional iterates of a Brouwer homeomorphism embeddable in a flow
• A note on iterative roots of PM functions
• Iterative roots of some homeomorphisms with a rational rotation number
• Recent results on iteration theory: iteration groups and semigroups in the real case
• On approximative embeddability of diffeomorphisms inC¹-flows
• The Embedding of Homeomorphisms in Flows
• On the functional equation $φ^n(x)=g(x)$
• PM functions, their characteristic intervals and iterative roots
• On fractional iterates of a homeomorphism of the plane
• On the node fractional iterates
• Recent results on functional equations in a single variable, perspectives and open problems
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