Functional analysis, calculus of variations and optimal control:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Springer
[2013]
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| Schriftenreihe: | Graduate texts in mathematics
264 |
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (xiv, 591 Seiten) |
| ISBN: | 9781447148203 |
| DOI: | 10.1007/978-1-4471-4820-3 |
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Datensatz im Suchindex
| _version_ | 1804150203281833984 |
|---|---|
| adam_text | FUNCTIONAL ANALYSIS, CALCULUS OF VARIATIONS AND OPTIMAL CONTROL
/ CLARKE, FRANCIS
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
FUNCTIONAL ANALYSIS, CALCULUS OF VARIATIONS AND OPTIMAL CONTROL
/ CLARKE, FRANCIS
: 2013
ABSTRACT / INHALTSTEXT
FUNCTIONAL ANALYSIS OWES MUCH OF ITS EARLY IMPETUS TO PROBLEMS THAT
ARISE IN THE CALCULUS OF VARIATIONS. IN TURN, THE METHODS DEVELOPED
THERE HAVE BEEN APPLIED TO OPTIMAL CONTROL, AN AREA THAT ALSO REQUIRES
NEW TOOLS, SUCH AS NONSMOOTH ANALYSIS. THIS SELF-CONTAINED TEXTBOOK
GIVES A COMPLETE COURSE ON ALL THESE TOPICS. IT IS WRITTEN BY A LEADING
SPECIALIST WHO IS ALSO A NOTED EXPOSITOR. THIS BOOK PROVIDES A THOROUGH
INTRODUCTION TO FUNCTIONAL ANALYSIS AND INCLUDES MANY NOVEL ELEMENTS AS
WELL AS THE STANDARD TOPICS. A SHORT COURSE ON NONSMOOTH ANALYSIS AND
GEOMETRY COMPLETES THE FIRST HALF OF THE BOOK WHILST THE SECOND HALF
CONCERNS THE CALCULUS OF VARIATIONS AND OPTIMAL CONTROL. THE AUTHOR
PROVIDES A COMPREHENSIVE COURSE ON THESE SUBJECTS, FROM THEIR INCEPTION
THROUGH TO THE PRESENT. A NOTABLE FEATURE IS THE INCLUSION OF RECENT,
UNIFYING DEVELOPMENTS ON REGULARITY, MULTIPLIER RULES, AND THE
PONTRYAGIN MAXIMUM PRINCIPLE, WHICH APPEAR HERE FOR THE FIRST TIME IN A
TEXTBOOK.OTHER MAJOR THEMES INCLUDE EXISTENCE AND HAMILTON-JACOBI
METHODS. THE MANY SUBSTANTIAL EXAMPLES, AND THE MORE THAN THREE HUNDRED
EXERCISES, TREAT SUCH TOPICS AS VISCOSITY SOLUTIONS, NONSMOOTH
LAGRANGIANS, THE LOGARITHMIC SOBOLEV INEQUALITY, PERIODIC TRAJECTORIES,
AND SYSTEMS THEORY. THEY ALSO TOUCH LIGHTLY UPON SEVERAL FIELDS OF
APPLICATION: MECHANICS, ECONOMICS, RESOURCES, FINANCE, CONTROL
ENGINEERING. FUNCTIONAL ANALYSIS, CALCULUS OF VARIATIONS AND OPTIMAL
CONTROL IS INTENDED TO SUPPORT SEVERAL DIFFERENT COURSES AT THE
FIRST-YEAR OR SECOND-YEAR GRADUATE LEVEL, ON FUNCTIONAL ANALYSIS, ON THE
CALCULUS OF VARIATIONS AND OPTIMAL CONTROL, OR ON SOME COMBINATION. FOR
THIS REASON, IT HAS BEEN ORGANIZED WITH CUSTOMIZATION IN MIND. THE TEXT
ALSO HAS CONSIDERABLE VALUE AS A REFERENCE.BESIDES ITS ADVANCED RESULTS
IN THE CALCULUS OF VARIATIONS AND OPTIMAL CONTROL, ITS POLISHED
PRESENTATION OF CERTAIN OTHER TOPICS (FOR EXAMPLE CONVEX ANALYSIS,
MEASURABLE SELECTIONS, METRIC REGULARITY, AND NONSMOOTH ANALYSIS) WILL
BE APPRECIATED BY RESEARCHERS IN THESE AND RELATED FIELDS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| author | Clarke, Francis H. 1948- |
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| dewey-full | 515.64 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.64 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4471-4820-3 |
| format | Electronic eBook |
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| spelling | Clarke, Francis H. 1948- Verfasser (DE-588)173744710 aut Functional analysis, calculus of variations and optimal control Francis Clarke London Springer [2013] © 2013 1 Online-Ressource (xiv, 591 Seiten) txt rdacontent c rdamedia cr rdacarrier Graduate texts in mathematics 264 Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s Variationsrechnung (DE-588)4062355-5 s Optimale Kontrolle (DE-588)4121428-6 s DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-1-4471-4819-7 Erscheint auch als Druck-Ausgabe, Paperback 978-1-4471-6210-0 Graduate texts in mathematics 264 (DE-604)BV035421258 264 https://doi.org/10.1007/978-1-4471-4820-3 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025891190&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025891190&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Clarke, Francis H. 1948- Functional analysis, calculus of variations and optimal control Graduate texts in mathematics Optimale Kontrolle (DE-588)4121428-6 gnd Variationsrechnung (DE-588)4062355-5 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4121428-6 (DE-588)4062355-5 (DE-588)4018916-8 |
| title | Functional analysis, calculus of variations and optimal control |
| title_auth | Functional analysis, calculus of variations and optimal control |
| title_exact_search | Functional analysis, calculus of variations and optimal control |
| title_full | Functional analysis, calculus of variations and optimal control Francis Clarke |
| title_fullStr | Functional analysis, calculus of variations and optimal control Francis Clarke |
| title_full_unstemmed | Functional analysis, calculus of variations and optimal control Francis Clarke |
| title_short | Functional analysis, calculus of variations and optimal control |
| title_sort | functional analysis calculus of variations and optimal control |
| topic | Optimale Kontrolle (DE-588)4121428-6 gnd Variationsrechnung (DE-588)4062355-5 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Optimale Kontrolle Variationsrechnung Funktionalanalysis |
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