Carleman transformation and Ovcyannikov-Treves operators

DOI10.1016/0362-546X(82)90105-5zbMath0508.34005OpenAlexW1983944055MaRDI QIDQ4746094

Wing Shing Wong

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(82)90105-5

zbMATH Keywords

analytic ordinary differential equationsanalytic vector fieldsVolterra series expansionCarleman transformationCarleman linearization of linear analytic systemsCarleman lineariztion techniquedifferential equations on scales of Banach spacesOvcyannikov-TrevesOvcyannikov-Treves operators

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) General theory of ordinary differential operators (47E05)

Cites Work

• Volterra series and geometric control theory
• Methods of nonlinear analysis. Vol. 1
• Functional expansions for the response of nonlinear differential systems
• Estimating the domain of attraction of nonlinear feedback systems
• The existence and uniqueness of Volterra series for nonlinear systems
• Carleman linearization and moment equations of nonlinear stochastic equations^†
• Lie Theory and Control Systems Defined on Spheres
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