The Hartman-Grobman theorem for Carathéodory-type differential equations in Banach spaces

DOI10.1016/S0362-546X(00)85006-3zbMath0953.34052OpenAlexW2017585158WikidataQ29396362 ScholiaQ29396362MaRDI QIDQ1570459

Thomas Wanner, Aulbach, Bernd

Publication date: 15 January 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)85006-3

zbMATH Keywords

Hartman-Grobman theoremtopological equivalenceintegral manifoldsCarathéodory-type equationsmeasurable time dependence

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Invariant manifolds for ordinary differential equations (34C45)

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Cites Work

• Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff
• Linearization near an integral manifold
• A generalization of Hartman's linearization theorem
• A Lemma in the Theory of Structural Stability of Differential Equations
• On the Local Linearization of Differential Equations
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