Topological methods in the study of boundary value problems / Pablo Amster.

Format:

Book

Author/Creator:

Amster, Pablo, author.

Series:

Universitext 0172-5939

Universitext, 0172-5939

Language:

English

Subjects (All):

Boundary value problems.

Differential equations, Partial.

Physical Description:

xvi, 226 pages : illustrations ; 24 cm.

Place of Publication:

New York : Springer, [2014]

Summary:

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.

Contents:

1. Shooting type methods

2. The banach fixed point theorem

3. Iterative methods

4. The Schauder theorem and applications

5. Topological degree: an introduction

6. Applications

A. Basic facts on metric and normed spaces

B. Brief review of ordinary differential equations

C. Hints and solutions to selected exercises.

Notes:

Includes bibliographical references (pages 217-223) and index.

ISBN:

9781461488927

1461488923

OCLC:

863146070