Multivalued maps and differential inclusions: elements of theory and applications
"The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analys...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
[2020]
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| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Zusammenfassung: | "The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields. This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at "beginners", starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics. The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies"--Publisher's website |
| Beschreibung: | 1 Online-Ressource (xii, 208 Seiten) |
| ISBN: | 9789811220227 |
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| 520 | |a "The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields. This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at "beginners", starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics. The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies"--Publisher's website | ||
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| 650 | 4 | |a Differential inclusions | |
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| 700 | 1 | |a Gel'man, Boris |e Sonstige |4 oth | |
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| author_variant | v o vo |
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| ctrlnum | (ZDB-124-WOP)00011825 (OCoLC)1237590518 (DE-599)BVBBV047124377 |
| dewey-full | 515.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.2 |
| dewey-search | 515.2 |
| dewey-sort | 3515.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:30:25Z |
| indexdate | 2024-07-10T09:03:18Z |
| institution | BVB |
| isbn | 9789811220227 |
| language | English |
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| psigel | ZDB-124-WOP |
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| publisher | World Scientific |
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| spelling | Obukhovskii, Valeri 1947- Verfasser aut Multivalued maps and differential inclusions elements of theory and applications by Valeri Obukhovskii, Boris Gel'man Singapore World Scientific [2020] 1 Online-Ressource (xii, 208 Seiten) txt rdacontent c rdamedia cr rdacarrier "The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields. This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at "beginners", starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics. The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies"--Publisher's website Set-valued maps Differential inclusions Control theory / Mathematical models Gel'man, Boris Sonstige oth https://www.worldscientific.com/worldscibooks/10.1142/11825#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Obukhovskii, Valeri 1947- Multivalued maps and differential inclusions elements of theory and applications Set-valued maps Differential inclusions Control theory / Mathematical models |
| title | Multivalued maps and differential inclusions elements of theory and applications |
| title_auth | Multivalued maps and differential inclusions elements of theory and applications |
| title_exact_search | Multivalued maps and differential inclusions elements of theory and applications |
| title_exact_search_txtP | Multivalued maps and differential inclusions elements of theory and applications |
| title_full | Multivalued maps and differential inclusions elements of theory and applications by Valeri Obukhovskii, Boris Gel'man |
| title_fullStr | Multivalued maps and differential inclusions elements of theory and applications by Valeri Obukhovskii, Boris Gel'man |
| title_full_unstemmed | Multivalued maps and differential inclusions elements of theory and applications by Valeri Obukhovskii, Boris Gel'man |
| title_short | Multivalued maps and differential inclusions |
| title_sort | multivalued maps and differential inclusions elements of theory and applications |
| title_sub | elements of theory and applications |
| topic | Set-valued maps Differential inclusions Control theory / Mathematical models |
| topic_facet | Set-valued maps Differential inclusions Control theory / Mathematical models |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11825#t=toc |
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