Non-monotonic solutions and continuously differentiable solutions of conjugacy equations

DOI10.1016/j.amc.2009.08.031zbMath1183.39015OpenAlexW2034478998MaRDI QIDQ1044405

Yong-guo Shi

Publication date: 18 December 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.031

zbMATH Keywords

functional equationrecursive algorithmsconjugacy equationcontinuously differentiable solutionMATLAB softwarenon-monotonic solution

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Numerical methods for functional equations (65Q20)

Related Items (7)

Conjugacy between piecewise monotonic functions and their iterative roots ⋮ Piecewise Expanding Maps and Conjugacy Equations ⋮ Conjugacy problem of strictly monotone maps with only one jump discontinuity ⋮ A note on the conjugacy from Farey map to the skew tent map ⋮ Topological conjugacy between PM function and its iterative roots ⋮ A topological classification for piecewise monotone iterative roots ⋮ On conjugacy ofr-modal interval maps with non-monotonicity height equal to 1

Uses Software

• Matlab

Cites Work

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• Computing iterative roots of polygonal functions
• Group iteration for Abel's functional equation
• Discussion on the differentiable solutions of the iterated equation
• Functional equations and how to solve them
• Differentiable solutions of an iterative functional equation

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