Evolutionary Integral Equations and Applications

Pruss, Jan

ISBN 10: 0817628762 / ISBN 13: 9780817628765

Published by Birkhauser Verlag, Basel / Boston / Berlin, 1993

About this Item

Basel / Boston / Berlin: Birkhauser Verlag, 1993. xxvi, 366 pp. 24 x 17.5 cm. Paper covered boards printed in green and yellow with white titling, in a matching glossy dustjacket. Light bumping along head and tail of jacket's panels, with the start of some curling of the laminate at the edges. Small 15 mm closed tear to fold of inside flap and back panel of jacket. Some light rubbing and bumping to spine ends and corners of boards. Interior is clean and unmarked. Binding firm. Due to the weight of this book, additional postage may be required for international orders. . Hard Cover. Very Good/Very Good.

Seller Inventory # 627799

Bibliographic Details

• Title: Evolutionary Integral Equations and Applications
• Publisher: Birkhauser Verlag, Basel / Boston / Berlin
• Publication Date: 1993
• Language: English
• ISBN 10: 0817628762
• ISBN 13: 9780817628765
• Binding: Hardcover
• Condition: Very Good
• Dust Jacket Condition: Very Good
• Seller catalogs:
  • New Additions
  • Mathematics

About this title

Synopsis

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 coherent presentation 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) integral equations and their applications in physics and engineering. (…) and for the first time the stress is on the infinite-dimensional case. (SIAM Reviews)