Functional equation of Dhombres type – a simple equation with many open problems

DOI10.1080/10236190802582142zbMath1178.39034OpenAlexW1991620862MaRDI QIDQ3644279

Ludwig Reich, Jaroslav Smítal

Publication date: 3 November 2009

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

Full work available at URL: https://doi.org/10.1080/10236190802582142

zbMATH Keywords

continuous solutionsiterative functional equationinvariant curvesanalytic solutionsentire solutionsreal solutions

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05) Functional equations for complex functions (39B32)

Related Items (6)

The life and mathematics of Jaroslav Smítal ⋮ On generalized Dhombres equations with nonconstant polynomial solutions in the complex plane ⋮ Generalized Dhombres Functional Equation ⋮ Singular solutions of the generalized Dhombres functional equation ⋮ On regular solutions of the generalized Dhombres equation ⋮ On regular solutions of the generalized Dhombres equation. II

Cites Work

• Local analytic solutions of the generalized Dhombres functional equation. II
• On a parametric functional equation of Dhombres type
• The holomorphic solutions of the generalized Dhombres functional equation
• On a generalized Dhombres functional equation

This page was built for publication: Functional equation of Dhombres type – a simple equation with many open problems