书目名称 | Evolutionary Integral Equations and Applications |
编辑 | Jan Prüss |
视频video | |
概述 | Presents a general approach to linear evolutionary systems.Clearly written and of lasting value.A substantial part of the results presented originate from the author? |
丛书名称 | Modern Birkhäuser Classics |
图书封面 |  |
描述 | 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 |
出版日期 | Book 2012 |
关键词 | dynamical problems; electrodynamics with memory; integrodifferential equations; linear Volterra integra |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-0348-0499-8 |
isbn_softcover | 978-3-0348-0498-1 |
isbn_ebook | 978-3-0348-0499-8Series ISSN 2197-1803 Series E-ISSN 2197-1811 |
issn_series | 2197-1803 |
copyright | Springer Basel 2012 |