Evolutionary Integral Equations and Applications

Idioma: inglés

Editorial: Springer Basel Aug 2012, 2012

3034804989 / 9783034804981

Serie: Libro 6 de 29 - Monographs in Mathematics

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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, AlemaniaBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - 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 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) integralequations and their applications in physics and engineering. (.) and for the first time the stress is on the infinite-dimensional case. (SIAM Reviews) 392 pp. Englisch.

N° de ref. del artículo 9783034804981

Título
Evolutionary Integral Equations and Applications
Autor
Jan Prüss
Editorial
Springer Basel Aug 2012
Año de publicación
2012
Estado
Neu
Encuadernación
Taschenbuch
Idioma
inglés
ISBN 10
3034804989
ISBN 13
9783034804981
Peso del artículo
593 gramos
Dimensiones
235x155x22 mm
Serie
Libro 6 de 29: Monographs in Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Alemania

Vendedor de 5 estrellas

Vendedor de AbeBooks desde 11 de enero de 2012

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BuchWeltWeit Ludwig Meier e.K.

Alemania