An Introduction to Nonlinear Analysis: Applications / Edition 1

by Zdzislaw Denkowski, Stanislaw Migïrski, Nikolaos S. Papageorgiou

Overview

Applications:- The objective of this book is to discuss some central topics in nonlinear analysis which are used in most applications and to outline applications covering a broad spectrum of disciplines from economics to engineering and physics.

Product Details

ISBN-13:	9780306474569
Publisher:	Springer US
Publication date:	01/31/2003
Edition description:	2003
Pages:	823
Product dimensions:	0.00(w) x 0.00(h) x 0.07(d)

Table of Contents

Applications:- List of Figures.- Preface.- 1. Nonlinear Operators and Fixed Points.- 2. Ordinary Differential Equations.- 3. Partial Differential Equations.- 4. Optimal Control and Calculus of Variations.- 5. Mathematical Economics.- References.- Index.

Editorial Reviews

From the reviews of the first edition:

"The book by Z. Denkowski, S. Migorski, and N. S. Papageorgiou is a valuable addition to the literature on the subject. We strongly recommend it as a rigorous, up-to-date text in the field."

(Sergiu Aizicovici, Ohio University)

"The book under review … covers some applications of nonlinear analysis. … This volume will be very useful for everybody whose research involves methods from nonlinear analysis. Overall this is a very interesting and well written book." (Tzanko D. Donchev, Mathematical Reviews, 2005 b)

"The monograph under review concentrates on the applications of nonlinear analysis … . The monograph is enriched by many examples and applications to various problems, also of concrete type. … Historical and bibliographical remarks concluding each chapter are very interesting and valuable. … This monograph is well organized and clearly written. It is very useful for anyone who is interested in modern nonlinear analysis and its applications. It is ideal both as a text for a graduate-level class and as a reference for researchers." (S. Burys, Zentralblatt MATH, Vol. 1054 (5), 2005)

From the Publisher