Smoothness of invariant manifolds

DOI10.1016/0022-1236(92)90065-QzbMath0762.93041OpenAlexW2004785805MaRDI QIDQ1187991

Stefan Hilger

Publication date: 3 August 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90065-q

zbMATH Keywords

gap conditionsmoothness properties of invariant manifolds for discrete and continuous systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Difference equations (39A99) Stability theory for ordinary differential equations (34D99)

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Cites Work

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• Center manifolds and contractions on a scale of Banach spaces
• Theory of difference equations: Numerical methods and applications
• Alternative problems and invariant subspaces
• Center manifolds are not \(C^\infty\)
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• C^k centre unstable manifolds
• Properties of Center Manifolds
• A New Proof of the Pseudostable Manifold Theorem
• Invariant manifolds