Analytic solutions of a functional equation for invariant curves

DOI10.1006/jmaa.2000.7390zbMath0992.39019OpenAlexW1984935626MaRDI QIDQ5945751

Wei Nian Zhang, Jian-guo Si

Publication date: 11 September 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7390

zbMATH Keywords

iterative functional equationinvariant curvesanalytic solutionspower series solutions

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12)

Related Items (17)

Analytic solutions of general nonlinear functional equations near resonance ⋮ Existence and uniqueness of solutions in \(H_{1}(\Delta)\) of a general class of non-linear functional equations ⋮ Erratum to ``Existence and uniqueness of solutions in \(H_{1}(\Delta)\) of a general class of nonlinear functional equations ⋮ Notes on a Functional Equation Related to Invariant Curves ⋮ Existence of analytic invariant curves for a complex planar mapping near resonance ⋮ Analytic solutions of a nonlinear iterative equation near neutral fixed points and poles ⋮ Small divisors problem in dynamical systems and analytic invariant curves for an iterative equation related to a rational difference equation ⋮ Estimation, dependence and stability of solutions of an iterative equation ⋮ Analytic invariant curves for a planar mapping ⋮ The existence of Siegel disks for the Cremona map ⋮ Analytic Solutions of aq-Difference Equation and Applications to Iterative Equations^* ⋮ Existence of analytic solutions of an iterative functional equation ⋮ Remark on invariant curves for planar mappings ⋮ Analytic invariant curves for an iterative equation related to Ricker-type second-order equation ⋮ Analytic invariant curves for an iterative equation related to dissipative standard map ⋮ Analytic invariant curves for an iterative equation related to Pielou's equation ⋮ Analytic invariant curves for an iterative equation related to mosquito model

Cites Work

• Linearized oscillations for equations with piecewise constant arguments
• Retarded differential equations with piecewise constant delays
• Oscillatory and Periodic Solutions of Delay Differential Equations with Piecewise Constant Argument
• Oscillatory and periodic solutions for systems of two first order linear differential equations with piecewise constant argument
• Invariant curves for planar mappings
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