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Methods in Nonlinear Integral Equations

  • Radu Precup

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Overview

    1. Radu Precup
      Pages 1-9
  3. Fixed Point Methods

    1. Front Matter
      Pages 11-11
    2. Radu Precup
      Pages 13-23
    3. Radu Precup
      Pages 61-76
  4. Variational Methods

  5. Iterative Methods

    1. Front Matter
      Pages 149-149
    2. Radu Precup
      Pages 151-162
    3. Radu Precup
      Pages 163-194
    4. Radu Precup
      Pages 195-210
  6. Back Matter
    Pages 217-218

About this book

Introduction

Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis.

Keywords

Boundary value problem Derivative Hilbert space Integral equation Newton's method compactness differential equation functional analysis linear optimization partial differential equation

Authors and affiliations

  • Radu Precup
    • 1
  1. 1.Department of Applied MathematicsBabeş-Bolyai UniversityClujRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-9986-3
  • Copyright Information Springer Science+Business Media B.V. 2002
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6114-0
  • Online ISBN 978-94-015-9986-3
  • Buy this book on publisher's site
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