Methods of Nonlinear Analysis: Applications to Differential Equations (Birkhäuser Advanced Texts Basler Lehrbücher)

Drábek, Pavel; Milota, Jaroslav

ISBN 10: 3764381469 / ISBN 13: 9783764381462

Published by Birkhäuser, 2007

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Bibliographic Details

• Title: Methods of Nonlinear Analysis: Applications to Differential Equations (Birkhäuser Advanced Texts Basler Lehrbücher)
• Publisher: Birkhäuser
• Publication Date: 2007
• Language: English
• ISBN 10: 3764381469
• ISBN 13: 9783764381462
• Binding: Hardcover
• Condition: New

About this title

Synopsis

In this book, the basic methods of nonlinear analysis are emphasized and illustrated in simple examples. Every considered method is motivated, explained in a general form but in the simplest possible abstract framework. Its applications are shown, particularly to boundary value problems for elementary ordinary or partial differential equations. The text is organized in two levels: a self-contained basic and, organized in appendices, an advanced level for the more experienced reader. Exercises are an organic part of the exposition and accompany the reader throughout the book.

From the Back Cover

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizations are shown. In particular, a large number of methods is applied to boundary value problems for partial differential equations. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. It thus serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists.