Methods of Nonlinear Analysis: Applications to Differential Equations (Birkhauser Advanced Texts Basler Lehrbucher)

✍ Scribed by Pavel Drabek, Jaroslav Milota,

Year: 2007
Tongue: English
Leaves: 576
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ 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.

✦ Table of Contents

3764381469......Page 1
Methods of Nonlinear Analysis......Page 4
Contents......Page 7
Preface......Page 9
1 Preliminaries......Page 13
2 Properties of Linear and Nonlinear Operators......Page 66
3 Abstract Integral and Differential Calculus......Page 115
4 Local Properties of Differentiable Mappings......Page 149
5 Topological and Monotonicity Methods......Page 259
6 Variational Methods......Page 370
7 Boundary Value Problems for Partial Differential Equations......Page 482
Summary of Methods......Page 542

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