Analytic solutions of a nonlinear iterative equation near neutral fixed points and poles

DOI10.1016/S0022-247X(03)00363-9zbMath1030.39025MaRDI QIDQ1406541

Wei Nian Zhang, Jian-guo Si

Publication date: 4 September 2003

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

zbMATH Keywords

iterationfunctional equationanalytic solutionpolesDiophantine conditionneutral fixed point

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 (8)

Analytic solutions of general nonlinear functional equations near resonance ⋮ Analytic solutions of an iterative functional differential equations near regular points ⋮ Existence of analytic invariant curves for a complex planar mapping near resonance ⋮ Small divisor problem in dynamical systems and analytic solutions of a \(q\)-difference equation with a singularity at the origin ⋮ Analytic solution of certain second-order functional differential equation ⋮ Analytic invariant curves for a planar mapping ⋮ Analytic Solutions of aq-Difference Equation and Applications to Iterative Equations^* ⋮ Small divisor problem for an analytic \(q\)-difference equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complex dynamics
• On a linear iterative equation
• A generic property of globally smooth iterative roots
• On an equation of linear iteration
• Zur Iteration reeller Funktionen
• The Embedding of Homeomorphisms in Flows
• A functional equation involving f and $f^{-1}$.
• Ultrafunctions, Projective Function Geometry, and Polynomial Functional Equations
• ANALYTIC SOLUTIONS OF A POLYNOMIAL-LIKE ITERATIVE FUNCTIONAL EQUATION
• Invariant curves for planar mappings
• A functional equation involving iterates of a bijection on the unit interval II
• Fractional iteration of differentiable functions
• Discussion on the differentiable solutions of the iterated equation
• Analytic solutions of a functional equation for invariant curves

This page was built for publication: Analytic solutions of a nonlinear iterative equation near neutral fixed points and poles