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Calculus of Variations, Classical and Modern

Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Bressanone (Bolzano), Italy, June 10-18, 1966

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  • © 2011

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Editors:
  1. R Conti
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Part of the book series: C.I.M.E. Summer Schools (CIME, volume 39)

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About this book

A. Blaquière: Quelques aspects géométriques des processus optimaux.- C. Castaing: Quelques problèmes de mesurabilité liés à la théorie des commandes.- L. Cesari: Existence theorems for Lagrange and Pontryagin problems of the calculus of variations and optimal control of more-dimensional extensions in Sobolev space.- H. Halkin: Optimal control as programming in infinite dimensional spaces.- C. Olech: The range of integrals of a certain class vector-valued functions.- E. Rothe: Weak topology and calculus of variations.- E.O. Roxin: Problems about the set of attainability.

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-iii
    Download chapter PDF

  2. Quelques Aspects Geometriques des Processus Optimaux

    • Austin Blaquiere
    Pages 1-74

  3. Quelques Problemes de Mesurabilite Lies a la Theorie des Commandes

    • Ch. Castaing
    Pages 75-84

  4. Existence Theorems for Lagrange and Pontryagin Problems of The Calculus of Variations and Optimal Control. More Dimensional Extensions in Sobolev Spaces

    • Lamberto Cesari
    Pages 85-176

  5. Optimal Control as Programming in Infinite Dimensional Spaces

    • Hubert Halkin
    Pages 177-192

  6. The range of integrals of a certain class of vector-valued functions

    • Czelaw Olech
    Pages 195-202

  7. Weak Topology and Calculus of Variations

    • E. H. Rothe
    Pages 205-237

  8. Problems About the Set of Attainability

    • E. O. Roxin
    Pages 239-369
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Bibliographic Information

  • Book Title: Calculus of Variations, Classical and Modern

  • Book Subtitle: Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Bressanone (Bolzano), Italy, June 10-18, 1966

  • Editors: R Conti

  • Series Title: C.I.M.E. Summer Schools

  • DOI: https://doi.org/10.1007/978-3-642-11042-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2011

  • Softcover ISBN: 978-3-642-11041-2Published: 30 November 2010

  • eBook ISBN: 978-3-642-11042-9Published: 01 June 2011

  • Edition Number: 1

  • Number of Pages: IV, 369

  • Topics: Calculus of Variations and Optimal Control; Optimization

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