Topological Degree Theory and Applications
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€137.99
a-proper
A-proper Mapping
A01=Yeol Je Cho
A01=Yu-Qing Chen
advanced mathematics textbook
Author_Yeol Je Cho
Author_Yu-Qing Chen
banach
Banach Spaces
boundary value problems
bounded
Bounded Subset
Category=PB
Coincidence Degree
Degree Theory
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Dimensional Subspace
Fixed Point Index
fixed point theory
fredholm
Fredholm Mapping
Infinite Dimensional Banach Space
Leray Schauder Degree
Locally Convex Space
mapping
Maximal Monotone
Maximal Monotone Mapping
monotone operators
Multi-valued Mapping
Multivalued Mappings
nonlinear functional analysis
nonlinear mapping applications in analysis
open
Open Bounded Subset
operator equations
Proper Lower Semicontinuous Convex Function
Pseudomonotone Mapping
real
Real Banach Spaces
Real Normed Space
Real Reflexive Banach Space
Real Separable Banach Spaces
Reflexive Banach Space
separable
Separable Banach Spaces
space
subset
Topological Degree
Product details
- ISBN 9781584886488
- Weight: 476g
- Dimensions: 156 x 234mm
- Publication Date: 27 Mar 2006
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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 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.
Cho, Yeol Je; Chen, Yu-Qing
