Skip to main content
SpringerLink
Log in
Book cover

Topological Methods in the Study of Boundary Value Problems

  • Textbook
  • © 2014

Overview

Authors:
  1. Pablo Amster

    1. Departamento de Matemática, FCEN-Universidad de Buenos Aires and IMAS-CONICET, Buenos Aires, Argentina

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Some simple but representative problems in nonlinear analysis are studied
  • Only basic knowledge of main topics in general analysis is needed, making the book easy-to-understand for non-specialists too
  • Concise and informal style, thus allowing also undergraduate students to enjoy some of the beauties of this interesting field of Mathematics

Part of the book series: Universitext (UTX)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (6 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Shooting Type Methods

    • Pablo Amster
    Pages 1-27

  3. The Banach Fixed Point Theorem

    • Pablo Amster
    Pages 29-51

  4. Iterative Methods

    • Pablo Amster
    Pages 53-82

  5. The Schauder Theorem and Applications

    • Pablo Amster
    Pages 83-107

  6. Topological Degree: An Introduction

    • Pablo Amster
    Pages 109-144

  7. Applications

    • Pablo Amster
    Pages 145-187

  8. Back Matter

    Pages 189-226
    Download chapter PDF
Back to top

Keywords

About this book

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.

Reviews

“This book reviews in a nice and well-written way the most important topological methods in the study of boundary value problems associated to ordinary differential equations. It is understandable even with a minimal knowledge of functional analysis; as a consequence, it is useful for many readers, starting from Master’s degree students and up to experienced researchers, who will appreciate this thorough and self- contained description of the basic concepts in this field.” (Anna Capietto, zbMATH 1319.34001, 2015)

Authors and Affiliations

  • Departamento de Matemática, FCEN-Universidad de Buenos Aires and IMAS-CONICET, Buenos Aires, Argentina

    Pablo Amster

About the author

Pablo Amster is an Associate Professor at the Department of Mathematics in Universidad de Buenos Aires, Argentina.

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation