Holdings: Functional analysis, calculus of variations and optimal control

Functional analysis, calculus of variations and optimal control:

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Bibliographic Details
Main Author:	Clarke, Francis H. 1948- (Author)
Format:	Electronic eBook
Language:	English
Published:	London Springer [2013]
Series:	Graduate texts in mathematics 264
Subjects:	Optimale Kontrolle Variationsrechnung Funktionalanalysis
Online Access:	BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (xiv, 591 Seiten)
ISBN:	9781447148203
DOI:	10.1007/978-1-4471-4820-3

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Record in the Search Index

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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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isbn	9781447148203
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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
url	https://doi.org/10.1007/978-1-4471-4820-3 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 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
volume_link	(DE-604)BV035421258
work_keys_str_mv	AT clarkefrancish functionalanalysiscalculusofvariationsandoptimalcontrol

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