Evolutionary Integral Equations and Applications

Language: English

Published by Birkhäuser, Birkhäuser Aug 2012, 2012

3034804989 / 9783034804981

Series: Book 6 of 29 - Monographs in Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -This book deals with evolutionary systems whose equation of state can be formulated as a linear Volterra equation in a Banach space. The main feature of the kernels involved is that they consist of unbounded linear operators. The aim is a coherentpresentation of the state of art of the theory including detailed proofs and its applications to problems from mathematical physics, such as viscoelasticity, heat conduction, and electrodynamics with memory. The importance of evolutionary integral equations ¿ which form a larger class than do evolution equations¿¿ stems from such applications and therefore special emphasis is placed on these. A number of models are derived and, by means of the developed theory, discussed thoroughly. An annotated bibliography containing 450 entries increases the book¿s value as an incisive reference text.This excellent book presents a general approach to linear evolutionary systems, with an emphasis on infinite-dimensional systems with time delays, such as those occurring in linear viscoelasticity with or without thermal effects. It gives a very natural and mature extension of the usual semigroup approach to a more general class of infinite-dimensional evolutionary systems. This is the first appearance in the form of a monograph of this recently developed theory. A substantial part of the results are due to the author, or are even new. (¿) It is not a book that one reads in a few days. Rather, it should be considered as an investment with lasting value.(Zentralblatt MATH)In this book, the author, who has been at the forefront of research on these problems for the last decade, has collected, and in many places extended, the known theory for these equations. In addition, he has provided a framework that allows one to relate and evaluate diverse results in the literature.(Mathematical Reviews)This book constitutes a highly valuable addition to the existing literature on the theory of Volterra (evolutionary) integralequations and their applications in physics and engineering. (¿) and for the first time the stress is on the infinite-dimensional case.(SIAM Reviews)Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 392 pp. Englisch.…

Seller Inventory # 9783034804981

Title
Evolutionary Integral Equations and Applications
Author
Jan Prüss
Publisher
Birkhäuser, Birkhäuser Aug 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3034804989
ISBN 13
9783034804981
Item weight
593 grams
Dimensions
235x155x22 mm
Series
Book 6 of 29: Monographs in Mathematics

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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