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CRC Press Topological Degree Theory and Applications: 10 (Mathematical Analysis and Applications)

Name: Topological Degree Theory and Applications: 10 (Mathematical Analysis and Applications)
Brand: CRC Press
Price: 62.59 GBP
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Differential Equations

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Description

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 in Banach spaces. This is followed by a study of degree theory for A-proper mappings and its applications to semilinear operator equations with Fredholm mappings and periodic boundary value problems. The focus then turns to construction of Mawhin's coincidence degree for L-compact mappings, followed by a presentation of a degree theory for mappings of class (S+) and its perturbations with other monotone-type mappings. The final chapter studies the fixed point index theory in a cone of a Banach space and presents a notable new fixed point index for countably condensing maps. Examples and exercises complement each chapter. With its blend of old and new techniques, Topological Degree Theory and Applications forms an outstanding text for self-study or special topics courses and a valuable reference for anyone working in differential equations, analysis, or topology. About the Author Cho, Yeol Je; Chen, Yu-Qing

Product Specifications

Brand: CRC Press
Format: paperback
ASIN: 0367390981
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 05 September 2019
Listed Since: 08 August 2019

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CRC Press Topological Degree Theory and Applications: 10 (Mathematical Analysis and Applications)

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