Progress in Nonlinear Differential Equations and Their Applications

Brouwer Degree

The Core of Nonlinear Analysis

Autoren: Dinca, George, Mawhin, Jean

Vorschau
  • Explores the Brouwer degree and its continuing impact on the development of nonlinear analysis
  • Uses an analytical approach with the language of differential forms to introduce the Brouwer degree with simplicity and clear motivation
  • Presents a broad view of the topic, including a wide variety of applications as well as numerous historical notes
Weitere Vorteile

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Über dieses Buch

This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker index and employing the language of differential forms. The chapters are organized so that they can be approached in various ways depending on the interests of the reader. Unifying this structure is the central role the Brouwer degree plays in nonlinear analysis, which is illustrated with existence, surjectivity, and fixed point theorems for nonlinear mappings. Special attention is paid to the computation of the degree, as well as to the wide array of applications, such as linking, differential and partial differential equations, difference equations, variational and hemivariational inequalities, game theory, and mechanics. Each chapter features bibliographic and historical notes, and the final chapter examines the full history. Brouwer Degree will serve as an authoritative reference on the topic and will be of interest to professional mathematicians, researchers, and graduate students.

Inhaltsverzeichnis (8 Kapitel)

Inhaltsverzeichnis (8 Kapitel)

Dieses Buch kaufen

eBook 93,08 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-030-63230-4
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 117,69 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Brouwer Degree
Buchuntertitel
The Core of Nonlinear Analysis
Autoren
Titel der Buchreihe
Progress in Nonlinear Differential Equations and Their Applications
Buchreihen Band
95
Copyright
2021
Verlag
Birkhäuser Basel
Copyright Inhaber
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-63230-4
DOI
10.1007/978-3-030-63230-4
Hardcover ISBN
978-3-030-63229-8
Buchreihen ISSN
1421-1750
Auflage
1
Seitenzahl
XIX, 447
Anzahl der Bilder
2 Abbildungen in Farbe
Themen