Positive Operator Semigroups : From Finite to Infinite Dimensions

Language: English

Published by Springer, 2018

3319826700 / 9783319826707

Series: Book 104 of 132 - Operator Theory: Advances and Applications

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This bookgives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes.In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed.The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date bibliography and a detailed subject index help the interested reader.The book is intended primarily for graduate and master students. The finite dimensional part, however, can be followed by an advanced bachelor with a solid knowledge of linear algebra and calculus.

Seller Inventory # 9783319826707

Title
Positive Operator Semigroups : From Finite to Infinite Dimensions
Author
Abdelaziz Rhandi
Publisher
Springer
Publication year
2018
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319826700
ISBN 13
9783319826707
Item weight
581 grams
Dimensions
235x155x21 mm
Series
Book 104 of 132: Operator Theory: Advances and Applications

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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