Semigroups for Delay Equations
Andràs Batkai, Susanna Piazzera - Collection Research Notes in Mathematics
Résumé
In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be studied in Lp-history spaces.
Appendices offering supplementary information and a comprehensive index make this book an ideal introduction and research tool for mathematicians, chemists, biologists and economists.
Sommaire
- Preliminary results insemigroup theory
- Semigroup theory
- Spectral theory and asymptotics of semigroups
- Well-posedness
- The delay semigroup
- Asymptotic behavior
- Stability via spectral properties
- Stability via perturbation
- Stability via positivity
- Small delays
- More Asymptotic properties
- More delay equations
- Second-order cauchy problems with delay
- Delays in the highest-order derivatives
- A - Vector-valued functions
Caractéristiques techniques
PAPIER | |
Éditeur(s) | AK Peters |
Auteur(s) | Andràs Batkai, Susanna Piazzera |
Collection | Research Notes in Mathematics |
Parution | 30/08/2005 |
Nb. de pages | 250 |
Format | 16 x 24 |
Couverture | Relié |
Poids | 470g |
Intérieur | Noir et Blanc |
EAN13 | 9781568812434 |
ISBN13 | 978-1-56881-243-4 |
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