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Semigroups for Delay Equations

Andras Batkai Susanna Piazzera

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Paperback

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English
CRC Press
02 December 2019
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.

By:   ,
Imprint:   CRC Press
Country of Publication:   United Kingdom
Dimensions:   Height: 229mm,  Width: 152mm, 
Weight:   453g
ISBN:   9780367454166
ISBN 10:   0367454165
Pages:   272
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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

Batkai, Andras; Piazzera, Susanna

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