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Exponentially Dichotomous Operators and Applications. 2008 ed..
・ISBN 978-3-7643-8731-0 hard EUR 99.99
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| 著者・編者 | van der Mee, Cornelis V. M., |
|---|---|
| シリーズ | Operator Theory: Advances and Applications |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2008 |
| ページ数 | 224 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-25050＞ |
解説
In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. The general theory of the first three chapters is then followed by applications to Wiener-Hopf factorization and Riccati equations, transport equations, diffusion equations of indefinite Sturm-Liouville type, noncausal infinite-dimensional linear continuous-time systems, and functional differential equations of mixed type.