On the Schröder equation and iterative sequences of \(C ^{r }\) diffeomorphisms in \({\mathbb{R}^{N}}\) space

DOI10.1007/s00010-012-0138-xzbMath1281.39017OpenAlexW1983988047MaRDI QIDQ1941995

Marek Cezary Zdun

Publication date: 25 March 2013

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-012-0138-x

zbMATH Keywords

fixed pointlinearizationcharacteristic rootshomogeneous polynomialsSchröder functional equationiterative sequencesmultidimensional matricespartial derivatives of higher order

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Iteration theory, iterative and composite equations (39B12)

Related Items (3)

On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case ⋮ Embeddings of diffeomorphisms of the plane in regular iteration semigroups

Cites Work

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• Étude théorique et numérique de la fonction de Karlin-McGregor
• Rescaling methods in complex analysis
• On monotonic solutions of the Schröder equation in Banach spaces
• Regular iteration of real and complex functions
• Discrete holomorphic local dynamical systems
• On Koenigs' ratios for iterates of real functions
• On continuous solutions of systems of functional equations

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