Methods of Nonlinear Analysis

Applications to Differential Equations

  • Pavel Drábek
  • Jaroslav Milota
Part of the Birkhäuser Advanced Texts Basler Lehrbücher book series (BAT)

Table of contents

  1. Front Matter
    Pages i-x
  2. Pavel Drábek, Jaroslav Milota
    Pages 1-53
  3. Pavel Drábek, Jaroslav Milota
    Pages 55-107
  4. Pavel Drábek, Jaroslav Milota
    Pages 109-148
  5. Pavel Drábek, Jaroslav Milota
    Pages 149-241
  6. Pavel Drábek, Jaroslav Milota
    Pages 243-359
  7. Pavel Drábek, Jaroslav Milota
    Pages 361-433
  8. Pavel Drábek, Jaroslav Milota
    Pages 435-564
  9. Pavel Drábek, Jaroslav Milota
    Pages 565-607
  10. Back Matter
    Pages 609-649

About this book

Introduction

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently.

In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question.

The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists. 

Keywords

boundary value problem evolution equation functional analysis nonlinear analysis ordinary and partial differential equations topological methods variational methods

Authors and affiliations

  • Pavel Drábek
    • 1
  • Jaroslav Milota
    • 2
  1. 1.Faculty of Applied Sciences, Department of MathematicsUniversity of West BohemiaPlzeňCzech Republic
  2. 2.Faculty of Information Technology, Department of Applied MathematicsCzech Technical UniversityPraha 6Czech Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0387-8
  • Copyright Information Birkhäuser Basel 2013
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0386-1
  • Online ISBN 978-3-0348-0387-8
  • About this book