Functional Analysis, Calculus of Variations and Optimal Control - Brossura

Libro 125 di 180: Graduate Texts in Mathematics

Clarke, Francis

 
9781447148210: Functional Analysis, Calculus of Variations and Optimal Control

Sinossi

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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9781447148197: Functional Analysis, Calculus of Variations and Optimal Control: 264

Edizione in evidenza

ISBN 10:  1447148193 ISBN 13:  9781447148197
Casa editrice: Springer Nature, 2013
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