Topological Methods in the Study of Boundary Value Problems

  • Pablo Amster

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Pablo Amster
    Pages 1-27
  3. Pablo Amster
    Pages 29-51
  4. Pablo Amster
    Pages 53-82
  5. Pablo Amster
    Pages 83-107
  6. Pablo Amster
    Pages 109-144
  7. Pablo Amster
    Pages 145-187
  8. Back Matter
    Pages 189-226

About this book

Introduction

This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general analysis is needed, making the book understandable to non-specialists. The main topics in the study of boundary value problems are present in this text, so readers with some experience in functional analysis or differential equations may also find some elements that complement and enrich their tools for solving nonlinear problems. In comparison with other texts in the field, this one has the advantage of a concise and informal style, thus allowing graduate and undergraduate students to enjoy some of the beauties of this interesting branch of mathematics. Exercises and examples are included throughout the book, providing motivation for the reader.

Keywords

Boundary value problems Fixed point theorems Nonlinear analysis Topological degree Topological methods

Authors and affiliations

  • Pablo Amster
    • 1
  1. 1.Departamento de MatemáticaFCEN-Universidad de Buenos Aires and IMAS-CONICETBuenos AiresArgentina

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-8893-4
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-8892-7
  • Online ISBN 978-1-4614-8893-4
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book