Fundamental principles of the theory of extremal problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English German |
| Published: |
Chichester u.a.
Wiley
1986
|
| Series: | A Wiley-Interscience publication
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Dt. übers. |
| Physical Description: | 136 S. |
| ISBN: | 0471905631 |
Staff View
MARC
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| 245 | 1 | 0 | |a Fundamental principles of the theory of extremal problems |c by Vladimir M. Tikhomirov |
| 264 | 1 | |a Chichester u.a. |b Wiley |c 1986 | |
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Record in the Search Index
| _version_ | 1804116650377609216 |
|---|---|
| adam_text | Table of Contents
Preface 7
0. Background Material 19
0.1. Normed Spaces, Banach Spaces. Riesz s Representation Theorem.
Du Bois Reymond s Lemma 19
0.2. Convex Analysis 23
0.3. Separation Theorems and Theorems of the Hahn Banach Type . 30
0.4. Additional Facts from Functional Analysis: Compactness, Ex¬
treme Points, Linear Operators 31
0.5. Some Lemmas 32
0.6. Differential Calculus 33
0.7. Generalized Implicit Function Theorem. Lyusternik s Theorem 37
1. The Lagrange Principle for Constrained Problems 40
Introduction 40
1.1. The Lagrange Principle for Mixed (Partly Smooth and Partly
Convex) Problems 44
1.2. Applications to Concrete Problems 57
2. The Duality Principle in Convex Analysis and Convex Programming 85
Introduction 85
2.1. The Most Important Duality Relations in Convex Analysis . . 86
2.2. Duality in the Theory of Extremal Problems 89
3. The Principle of Extension of Variational Problems 97
Introduction 97
3.1. The Notion of an Extension and Bogolyubov s Theorem ... 99
3.2. Extensions in Problems of Optimal Control. Sliding Regimes. . 104
4. The Principle of Complete Constraint Removal, the Hamilton Jacobi
Principle, the Invariance Principle. Some Examples 110
Introduction 110
4.1. The Principle of Complete Constraint Removal 111
6 Table of Contents
4.2. Perturbationsand Fields of Extremals (Hamilton Jacobi Principle) 117
4.3. On the Invariance Principle 120
4.4. Some Examples 121
References . 127
Basic Notation 133
Index 134
|
| any_adam_object | 1 |
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| author_facet | Tichomirov, Vladimir M. |
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| id | DE-604.BV002194970 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:41:53Z |
| institution | BVB |
| isbn | 0471905631 |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001441892 |
| oclc_num | 476415877 |
| open_access_boolean | |
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| physical | 136 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Wiley |
| record_format | marc |
| series2 | A Wiley-Interscience publication |
| spelling | Tichomirov, Vladimir M. Verfasser aut Fundamental principles of the theory of extremal problems by Vladimir M. Tikhomirov Chichester u.a. Wiley 1986 136 S. txt rdacontent n rdamedia nc rdacarrier A Wiley-Interscience publication Aus d. Dt. übers. Optimierung (DE-588)4043664-0 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 s Optimierung (DE-588)4043664-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001441892&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tichomirov, Vladimir M. Fundamental principles of the theory of extremal problems Optimierung (DE-588)4043664-0 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4062355-5 |
| title | Fundamental principles of the theory of extremal problems |
| title_auth | Fundamental principles of the theory of extremal problems |
| title_exact_search | Fundamental principles of the theory of extremal problems |
| title_full | Fundamental principles of the theory of extremal problems by Vladimir M. Tikhomirov |
| title_fullStr | Fundamental principles of the theory of extremal problems by Vladimir M. Tikhomirov |
| title_full_unstemmed | Fundamental principles of the theory of extremal problems by Vladimir M. Tikhomirov |
| title_short | Fundamental principles of the theory of extremal problems |
| title_sort | fundamental principles of the theory of extremal problems |
| topic | Optimierung (DE-588)4043664-0 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Optimierung Variationsrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001441892&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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