Name: Topological Degree Theory and Applications (Mathematical Analysis and Applications) (en Inglés)
Price: 126200.00 CLP
Availability: InStock
Author: Yeol Je Cho; Yu-Qing Chen
ISBN: 9780367390983

portada Topological Degree Theory and Applications (Mathematical Analysis and Applications) (en Inglés)

Topological Degree Theory and Applications (Mathematical Analysis and Applications) (en Inglés)

Formato

Libro Físico

Editorial

Crc Pr Inc

Autor

Yeol Je Cho; Yu-Qing Chen

Idioma

Inglés

N° páginas

232

Encuadernación

Tapa Blanda

ISBN13

9780367390983

N° edición

Topological Degree Theory and Applications (Mathematical Analysis and Applications) (en Inglés)

Yeol Je Cho; Yu-Qing Chen (Autor) · Crc Pr Inc · Tapa Blanda

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Reseña del libro "Topological Degree Theory and Applications (Mathematical Analysis and Applications) (en Inglés)"

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.