Analytic solutions of systems of functional equations.

DOI10.1007/S11766-003-0016-3zbMath1034.39017OpenAlexW2006459381MaRDI QIDQ1413694

Xin-He Liu

Publication date: 17 November 2003

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-003-0016-3

zbMATH Keywords

iterationsystems of functional equationsanalytic solutionsFeigenbaum equation

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) Systems of functional equations and inequalities (39B72)

Cites Work

• Unnamed Item
• Positive solutions of difference equations with two-point right focal boundary conditions
• Existence, uniqueness and stability of \(C^m\) solutions of iterative functional equations
• Linear Independence of Iterates and Entire Solutions of Functional Equations
• A computer-assisted proof of the Feigenbaum conjectures
• ANALYTIC SOLUTIONS OF A POLYNOMIAL-LIKE ITERATIVE FUNCTIONAL EQUATION
• On the existence of solutions of singular boundary value problems for higher order difference equations

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