Topological Degree Theory and Applications

Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, 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. It includes discussions on a degree theory for new monotone maps and A-proper Fredholm maps of index-zero type and presents a recently developed fixed point index for countably condensing maps. Applications to ordinary and partial differential equations and evolution equations are presented throughout the book, and each chapter includes exercises suitable for self-study and special topics courses.

Autorentext

Cho, Yeol Je; Chen, Yu-Qing

Inhalt
Brouwer Degree Theory. Leray-Schauder Degree Theory. Degree Theory for Set-Contraction Mappings. Generalized Degree Theory for A-Proper Mappings. Coincidence Degree Theory. Degree Theory for Monotone Type Mappings. Fixed Point Index Theory. References. Index.