株式会社極東書店トップ ＞ 商品一覧 ＞ Ordinary Differential Equations : Analysis, Qualitative Theory and Control.
商品詳細
Ordinary Differential Equations : Analysis, Qualitative Theory and Control.
・ISBN 978-1-4471-6397-8 paper EUR 34.99
￥9,352.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
| 著者・編者 | Logemann, Hartmut / Ryan, Eugene P., |
|---|---|
| シリーズ | Springer Undergraduate Mathematics Series |
| 出版社 | (Springer London Ltd, UK) |
| 出版年月 | 2014 |
| ページ数 | 333 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-23228＞ |
解説
The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature.
The following topics are particularly emphasised:
* existence, uniqueness and continuation of solutions,
* continuous dependence on initial data,
* flows,
* qualitative behaviour of solutions,
* limit sets,
* stability theory,
* invariance principles,
* introductory control theory,
* feedback and stabilization.
The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability.
Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science.