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Functional Analysis Calculus Of Variations And Optimal Control(1st Edition)

Authors:

Francis Clarke

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Cover Type:Hardcover

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Book details

ISBN: 1447148215, 978-1447148210

Book publisher: Springer

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Book Summary: Normed Spaces.- Convex Sets And Functions.- Weak Topologies.- Convex Analysis.- Banach Spaces.- Lebesgue Spaces.- Hilbert Spaces.- Additional Exercises For Part I.- Optimization And Multipliers.- Generalized Gradients.- Proximal Analysis.- Invariance And Monotonicity.- Additional Exercises For Part II.- The Classical Theory.- Nonsmooth Extremals.- Absolutely Continuous Solutions.- The Multiplier Rule.- Nonsmooth Lagrangians.- Hamilton-Jacobi Methods.- Additional Exercises For Part III.- Multiple Integrals.- Necessary Conditions.- Existence And Regularity.- Inductive Methods.- Differential Inclusions.- Additional Exercises For Part IV.

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