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Beschreibung
In this work we explore the Floquet theory for evolution equations of the form u'(t)+A_t u(t)=0 (t real) where the operators A_t periodically depend on t and the function u takes values in a UMD Banach space X. We impose a suitable condition on the operator family (A_t) and their common domain, in particular a decay condition for certain resolvents, to obtain the central result that all exponentially bounded solutions can be described as a superposition of a fixed family of Floquet solutions.
Details
| Verlag | KIT Scientific Publishing |
| Ersterscheinung | 15. Oktober 2010 |
| Maße | 21 cm x 14.8 cm |
| Gewicht | 150 Gramm |
| Format | Softcover |
| ISBN-13 | 9783866445420 |
| Seiten | 130 |
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