Non-uniqueness and exotic solutions of conjugacy equations

DOI10.1080/10236198.2015.1062002zbMath1344.39011OpenAlexW2184482248MaRDI QIDQ2796782

Cristina Serpa, Jorge Buescu

Publication date: 29 March 2016

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

Full work available at URL: https://doi.org/10.1080/10236198.2015.1062002

zbMATH Keywords

functional equationmetric spaceiterated function systemexplicit solutionbounded solutionconjugacy equationexotic solutions

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Iteration theory, iterative and composite equations (39B12) Systems of functional equations and inequalities (39B72)

Related Items (3)

Constructive solutions for systems of iterative functional equations ⋮ Some results for conjugate equations ⋮ Compatibility conditions for systems of iterative functional equations with non-trivial contact sets

Cites Work

• Explicitly defined fractal interpolation functions with variable parameters
• On uniqueness of conjugacy of continuous and piecewise monotone functions
• Iterative fixed point theorems in \(E\)-metric spaces
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