Nonlinear Functional Analysis and Applications

Nonlinear Functional Analysis and Applications

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

1st Edition - January 28, 1971

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  • Editor: Louis B. Rall
  • eBook ISBN: 9781483272443

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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


Product details

  • No. of pages: 594
  • Language: English
  • Copyright: © Academic Press 1971
  • Published: January 28, 1971
  • Imprint: Academic Press
  • eBook ISBN: 9781483272443

About the Editor

Louis B. Rall

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