Theorems of Leray-Schauder Type And Applications

by Radu Precup

Overview

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.

Product Details

ISBN-13:	9780367454722
Publisher:	CRC Press
Publication date:	12/02/2019
Series:	Mathematical Analysis and Applications
Pages:	216
Product dimensions:	6.88(w) x 9.69(h) x (d)

About the Author

Precup, Radu

Table of Contents

Overview. Theorems of Leray-Schauder Type for Contractions. Continuation Theorems for Nonexpansive Maps. Theorems of Leray-Schauder Type for Accretive Maps. Continuation Theorems Involving Compactness. Applications to Semilinear Elliptic Problems. Theorems of Leray-Schauder Type for Coincidences. Theorems of Selective Continuation. The Unified Theory. Multiplicity. Local Continuation Theorems.

Editorial Reviews

This book should stimulate a great deal of interest and research in the area of topological methods in general and continuation theorems in particular.

Chaitan Gupta

This book is bound to be useful guide for those who deal with differential equations.

P. Ch. Tsamatos

Both authors are well known experts in their field ...it is coherent and self contained ...I am aware of no other account of such diversity of results along with some of their uses.

Larry Bobisud