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商品詳細
Methods of Nonlinear Analysis : Applications to Differential Equations. 2nd ed. 2013.
・ISBN 978-3-0348-0759-3 paper EUR 79.99
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| 著者・編者 | Drabek, Pavel / Milota, Jaroslav, |
|---|---|
| シリーズ | Birkhaeuser Advanced Texts Basler Lehrbuecher |
| 出版社 | (Springer Basel, SZ) |
| 出版年月 | 2015 |
| ページ数 | 649 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-24082＞ |
解説
In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently.
In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question.
The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists