Nonlinear Functional Analysis and Applications - 1st Edition - ISBN: 9780125763509, 9781483272443

Nonlinear Functional Analysis and Applications

1st Edition

Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, October 12-14, 1970

Editors: Louis B. Rall
eBook ISBN: 9781483272443
Imprint: Academic Press
Published Date: 28th January 1971
Page Count: 594
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Description

Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application. This book provides an introduction to the basic concepts and techniques of this field.

Organized into nine chapters, this book begins with an overview of the possibilities for applying ideas from functional analysis to problems in analysis. This text then provides a systematic exposition of several aspects of differential calculus in norms and topological linear spaces. Other chapters consider the various settings in nonlinear functional analysis in which differentials play a significant role. This book discusses as well the generalized inverse for a bounded linear operator, whose range is not necessarily closed. The final chapter deals with the equations of hydrodynamics, which are usually highly nonlinear and difficult to solve.

This book is a valuable resource for mathematicians. Readers who are interested in nonlinear functional analysis will also find this book useful.

Table of Contents


Preface

Some Applications of Functional Analysis to Analysis, Particularly to Nonlinear Integral Equations

The Differentiation and Integration of Nonlinear Operators

Differentiability and Related Properties of Nonlinear Operators: Some Aspects of the Role of Differentials in Nonlinear Functional Analysis

Generalized Inverses, Normal Solvability, and Iteration for Singular Operator Equations

On Polynomial Operators and Equations

Applications and Methods for the Minimization of Functionals

Toward a Unified Convergence Theory for Newton-Like Methods

Operator Solutions of Nonlinear Equations in Optimal Control Problems

Complementary Variational Principles

Index

Details

No. of pages:
594
Language:
English
Copyright:
© Academic Press 1971
Published:
Imprint:
Academic Press
eBook ISBN:
9781483272443

About the Editor

Louis B. Rall

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