<電子ブック>
Methods of Nonlinear Analysis : Applications to Differential Equations / by Pavel Drabek, Jaroslav Milota
(Birkhäuser Advanced Texts Basler Lehrbücher. ISSN:22964894)
版 | 2nd ed. 2013. |
---|---|
出版者 | Basel : Springer Basel : Imprint: Birkhäuser |
出版年 | 2013 |
本文言語 | 英語 |
大きさ | X, 649 p : online resource |
著者標目 | *Drabek, Pavel author Milota, Jaroslav author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Functional analysis LCSH:Differential equations LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Analysis FREE:Functional Analysis FREE:Differential Equations FREE:Calculus of Variations and Optimization |
一般注記 | Preface -- 1 Preliminaries -- 2 Properties of Linear and Nonlinear Operators -- 3 Abstract Integral and Differential Calculus -- 4 Local Properties of Differentiable Mappings -- 5 Topological and Monotonicity Methods -- 6 Variational Methods -- 7 Boundary Value Problems for Partial Differential Equations -- Summary of Methods -- Typical Applications -- Comparison of Bifurcation Results -- List of Symbols -- Index -- Bibliography 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. HTTP:URL=https://doi.org/10.1007/978-3-0348-0387-8 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783034803878 |
|
電子リソース |
|
EB00230108 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000118543 |
ISBN | 9783034803878 |
類似資料
この資料の利用統計
このページへのアクセス回数:6回
※2017年9月4日以降