Semigroups for Delay Equations

1. Auflage 2005
ISBN: 978-1-56881-243-4
Verlag: Taylor & Francis Inc

Buch, Englisch, 272 Seiten, Format (B × H): 162 mm x 237 mm, Gewicht: 472 g

Reihe: Research Notes in Mathematics

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.

Zielgruppe

Professional Practice & Development

Autoren/Hrsg.

Batkai, Andras

Piazzera, Susanna

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Naturwissenschaften Chemie Chemie Allgemein Chemometrik, Chemoinformatik
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

Part I: Preliminary Results in Semigroup Theory 1. Semigroup Theory 2. Spectral Theory and Asymptotics of Semigroups Part II: Well-Posedness 3. The Delay Semigroup Part III: Asymptotic Behavior 4. Stability via Spectral Properties 5. Stability via Perturbation 6. Stability via Positivity 7. Small Delays 8. More Asymptotic Properties Part IV: More Delay Equations 9. Second-Order Cauchy Problems with Delay 10. Delays in the Highest-Order Derivatives

Über Autor(innen)

Batkai, Andras; Piazzera, Susanna