Implicit functions and solution mappings: a view from variational analysis
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY [u.a.]
Springer
2014
|
| Edition: | 2. ed. |
| Series: | Springer series in operations research and financial engineering
|
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781493910366 9781493910373 |
| DOI: | 10.1007/978-1-4939-1037-3 |
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Record in the Search Index
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| adam_text | IMPLICIT FUNCTIONS AND SOLUTION MAPPINGS
/ DONTCHEV, ASEN L.
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION AND EQUATION-SOLVING BACKGROUND
SOLUTION MAPPINGS FOR VARIATIONAL PROBLEMS
SET-VALUED ANALYSIS OF SOLUTION MAPPINGS
REGULARITY PROPERTIES THROUGH GENERALIZED DERIVATIVES
METRIC REGULARITY IN INFINITE DIMENSIONS
APPLICATIONS IN NUMERICAL VARIATIONAL ANALYSIS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
IMPLICIT FUNCTIONS AND SOLUTION MAPPINGS
/ DONTCHEV, ASEN L.
: 2014
ABSTRACT / INHALTSTEXT
THE IMPLICIT FUNCTION THEOREM IS ONE OF THE MOST IMPORTANT THEOREMS IN
ANALYSIS AND ITS MANY VARIANTS ARE BASIC TOOLS IN PARTIAL DIFFERENTIAL
EQUATIONS AND NUMERICAL ANALYSIS. THIS SECOND EDITION OF IMPLICIT
FUNCTIONS AND SOLUTION MAPPINGS PRESENTS AN UPDATED AND MORE COMPLETE
PICTURE OF THE FIELD BY INCLUDING SOLUTIONS OF PROBLEMS THAT HAVE BEEN
SOLVED SINCE THE FIRST EDITION WAS PUBLISHED, AND PLACES OLD AND NEW
RESULTS IN A BROADER PERSPECTIVE. THE PURPOSE OF THIS SELF-CONTAINED
WORK IS TO PROVIDE A REFERENCE ON THE TOPIC AND TO PROVIDE A UNIFIED
COLLECTION OF A NUMBER OF RESULTS WHICH ARE CURRENTLY SCATTERED
THROUGHOUT THE LITERATURE. UPDATES TO THIS EDITION INCLUDE NEW SECTIONS
IN ALMOST ALL CHAPTERS, NEW EXERCISES AND EXAMPLES, UPDATED COMMENTARIES
TO CHAPTERS AND AN ENLARGED INDEX AND REFERENCES SECTION. FROM REVIEWS
OF THE FIRST EDITION: “THE BOOK COMMENCES WITH A HELPFUL
CONTEXT-SETTING PREFACE FOLLOWED BY SIX CHAPTERS.EACH CHAPTER STARTS
WITH A USEFUL PREAMBLE AND CONCLUDES WITH A CAREFUL AND INSTRUCTIVE
COMMENTARY, WHILE A GOOD SET OF REFERENCES, A NOTATION GUIDE, AND A
SOMEWHAT BRIEF INDEX COMPLETE THIS STUDY. … I UNRESERVEDLY RECOMMENDED
THIS BOOK TO ALL PRACTITIONERS AND GRADUATE STUDENTS INTERESTED IN
MODERN OPTIMIZATION THEORY OR CONTROL THEORY OR TO THOSE JUST ENGAGED BY
BEAUTIFUL ANALYSIS CLEANLY DESCRIBED.” (JONATHAN MICHAEL BORWEIN, IEEE
CONTROL SYSTEMS MAGAZINE, FEBRUARY, 2012) “THIS BOOK IS DEVOTED TO THE
THEORY OF INVERSE AND IMPLICIT FUNCTIONS AND SOME OF ITS MODIFICATIONS
FOR SOLUTION MAPPINGS IN VARIATIONAL PROBLEMS. … THE BOOK IS TARGETED
TO A BROAD AUDIENCE OF RESEARCHERS, TEACHERS AND GRADUATE STUDENTS. IT
CAN BE USED AS WELL AS A TEXTBOOK AS A REFERENCE BOOK ON THE
TOPIC.UNDOUBTEDLY, IT WILL BE USED BY MATHEMATICIANS DEALING WITH
FUNCTIONAL AND NUMERICAL ANALYSIS, OPTIMIZATION, ADJACENT BRANCHES AND
ALSO BY SPECIALISTS IN MECHANICS, PHYSICS, ENGINEERING, ECONOMICS, AND
SO ON.” (PETER ZABREIKO, ZENTRALBLATT MATH, VOL. 1178, 2010) “THE
PRESENT MONOGRAPH WILL BE A MOST WELCOME AND VALUABLE ADDITION. … THIS
BOOK WILL SAVE MUCH TIME AND EFFORT, BOTH FOR THOSE DOING RESEARCH IN
VARIATIONAL ANALYSIS AND FOR STUDENTS LEARNING THE FIELD. THIS IMPORTANT
CONTRIBUTION FILLS A GAP IN THE EXISTING LITERATURE.” (STEPHEN M.
ROBINSON, MATHEMATICAL REVIEWS, ISSUE 2010)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Dončev, Asen L. 1948- Rockafellar, Ralph Tyrrell 1935- |
| author_GND | (DE-588)110480376 (DE-588)115723498 |
| author_facet | Dončev, Asen L. 1948- Rockafellar, Ralph Tyrrell 1935- |
| author_role | aut aut |
| author_sort | Dončev, Asen L. 1948- |
| author_variant | a l d al ald r t r rt rtr |
| building | Verbundindex |
| bvnumber | BV041955862 |
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| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)882509774 (DE-599)DNB105226879X |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4939-1037-3 |
| edition | 2. ed. |
| format | Electronic eBook |
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| spelling | Dončev, Asen L. 1948- Verfasser (DE-588)110480376 aut Implicit functions and solution mappings a view from variational analysis Asen L. Dontchev ; R. Tyrrell Rockafellar 2. ed. New York, NY [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer series in operations research and financial engineering Variationsproblem (DE-588)4187419-5 gnd rswk-swf Implizite Funktion (DE-588)4570203-2 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Implizite Funktion (DE-588)4570203-2 s Variationsproblem (DE-588)4187419-5 s Variationsrechnung (DE-588)4062355-5 s 2\p DE-604 Rockafellar, Ralph Tyrrell 1935- Verfasser (DE-588)115723498 aut https://doi.org/10.1007/978-1-4939-1037-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027398752&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=027398752&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dončev, Asen L. 1948- Rockafellar, Ralph Tyrrell 1935- Implicit functions and solution mappings a view from variational analysis Variationsproblem (DE-588)4187419-5 gnd Implizite Funktion (DE-588)4570203-2 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4187419-5 (DE-588)4570203-2 (DE-588)4062355-5 (DE-588)4123623-3 |
| title | Implicit functions and solution mappings a view from variational analysis |
| title_auth | Implicit functions and solution mappings a view from variational analysis |
| title_exact_search | Implicit functions and solution mappings a view from variational analysis |
| title_full | Implicit functions and solution mappings a view from variational analysis Asen L. Dontchev ; R. Tyrrell Rockafellar |
| title_fullStr | Implicit functions and solution mappings a view from variational analysis Asen L. Dontchev ; R. Tyrrell Rockafellar |
| title_full_unstemmed | Implicit functions and solution mappings a view from variational analysis Asen L. Dontchev ; R. Tyrrell Rockafellar |
| title_short | Implicit functions and solution mappings |
| title_sort | implicit functions and solution mappings a view from variational analysis |
| title_sub | a view from variational analysis |
| topic | Variationsproblem (DE-588)4187419-5 gnd Implizite Funktion (DE-588)4570203-2 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Variationsproblem Implizite Funktion Variationsrechnung Lehrbuch |
| url | https://doi.org/10.1007/978-1-4939-1037-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027398752&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=027398752&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT doncevasenl implicitfunctionsandsolutionmappingsaviewfromvariationalanalysis AT rockafellarralphtyrrell implicitfunctionsandsolutionmappingsaviewfromvariationalanalysis |