Andras Batkai, Susanna Piazzera

Semigroups for Delay Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 272
• Erscheinungstermin: 5. September 2005
• Englisch
• ISBN-13: 9781439865682
• Artikelnr.: 54109971

Autorenporträt

Batkai, Andras; Piazzera, Susanna

Inhaltsangabe

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