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Topological degree theory and applications /

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Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on top...

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Bibliographic Details
Main Author: O'Regan, Donal
Corporate Author: Taylor & Francis
Other Authors: Cho, Yeol Je, Chen, Yu Qing
Format: eBook
Language:English
Published: Boca Raton, FL : Chapman & Hall/CRC, 2006.
Series:Series in mathematical analysis and applications ; v. 10.
Subjects:
Topological degree.
Differentiable functions.
Degré topologique.
Fonctions différentiables.
MATHEMATICS > Topology.
Differentiable functions
Topological degree
Abbildungsgrad
Fixpunkttheorie
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary:Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications. The authors begin by introducing the Brouwer degree theory in Rn, then consider the Leray-Schauder degree for compact mappings in normed spaces. Next, they explore the degree theory for condensing mappings, including applications to ODEs.
Physical Description:1 online resource (221 pages)
Bibliography:Includes bibliographical references (pages 195-215) and index.
ISBN:1420011480
9781420011487
9781584886488
158488648X