Analytic solutions of iterative functional equations

DOI10.1016/S0022-247X(02)00067-7zbMath1006.39022MaRDI QIDQ697441

Xin-He Liu, Jie Hua Mai

Publication date: 17 September 2002

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

zbMATH Keywords

fixed pointanalytic solutioniterative functional equationdifference quotientcompact convex set

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12) Functional equations for complex functions (39B32)

Related Items (1)

Analytic Solutions of aq-Difference Equation and Applications to Iterative Equations^*

Cites Work

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• Existence, uniqueness and stability of \(C^m\) solutions of iterative functional equations
• Linear Independence of Iterates of Entire Functions
• On a functional equation involving iterates of a bijection on the unit interval
• Linear Independence of Iterates and Entire Solutions of Functional Equations
• When is f(f(z)) = az 2 + bz + c?
• A computer-assisted proof of the Feigenbaum conjectures
• A functional equation involving iterates of a bijection on the unit interval II
• Discussion on the differentiable solutions of the iterated equation

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