Theorems of Leray-Schauder Type And Applications

1st Edition

Radu Precup

CRC Press
Published October 24, 2002
Reference - 216 Pages
ISBN 9789056992958 - CAT# TF2981
Series: Mathematical Analysis and Applications

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Summary

This volume presents a systematic and unified treatment of Leray-Schauder continuation theorems in nonlinear analysis. In particular, fixed point theory is established for many classes of maps, such as contractive, non-expansive, accretive, and compact maps, to name but a few. This book also presents coincidence and multiplicity results. Many applications of current interest in the theory of nonlinear differential equations are presented to complement the theory. The text is essentially self-contained, so it may also be used as an introduction to topological methods in nonlinear analysis. This volume will appeal to graduate students and researchers in mathematical analysis and its applications.