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OverviewIn 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. Full Product DetailsAuthor: Andras Batkai , Susanna PiazzeraPublisher: Taylor & Francis Inc Imprint: A K Peters Edition: illustrated edition Volume: 10 Weight: 0.476kg ISBN: 9781568812434ISBN 10: 1568812434 Pages: 272 Publication Date: 09 May 2005 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsPart 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 DerivativesReviewsThe book describes the semigroup approach to delay equations in a well-arranged and understandable way. Moreover, it contains many references for different approaches to delay equations. Theoretical results are always followed by illustrative examples. Therefore, the book will be useful for graduate students as well as for researchers in evolution equations. -Newsletter of the European Mathematical Society , June 2006 With clear writing and multiple scientific or pedagogic examples, it is the opinion of this reviewer that the authors do a good job presenting a synthesis of a significant mass of work on the [subjects of semigroups and delay equations]. -Mathematiacl Reviews, May 2006 Author InformationBatkai, Andras; Piazzera, Susanna Tab Content 6Author Website:Countries AvailableAll regions |
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