Methods of nonlinear analysis : applications to differential equations /
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 a...
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| フォーマット: | eBook |
| 言語: | English |
| 出版事項: |
Basel
Springer Basel
2013.
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| 版: | 2nd ed. 2013. |
| シリーズ: | Birkhäuser Advanced Texts Basler Lehrbucher
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| オンライン･アクセス: | Click here to view the full text content |
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| 要約: | 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. |
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| 物理的記述: | 1 online resource (X, 649 pages) 1 illustration in colour. |
| ISBN: | 9783034803878 |