One-Parameter Semigroups for Linear Evolution Equations (Graduate Texts in Mathematics)
Contributors: S. Brendle (Contributor); M. Campiti (Contributor); T. Hahn (Contributor); G. Metafune (Contributor); G. Nickel (Contributor); D. Pallara (Contributor); C. Perazzoli (Contributor); A. Rhandi (Contributor); S. Romanelli (Contributor); R. Schnaubelt (Contributor)
Publisher: Springer
Published: October 29, 1999
Language: eng
Number of pages: 586
ISBN-13: 9780387984636
First sentence: There are many good reasons-the reader may consult Section 1 of the Epilogue for details-why an "autonomous deterministic system" should be described by maps T(t), t 0, satisfying the functional equation (FE) T(t + s) = T(t)T(s).
Description: "This book gives an up-to-date account of the theory of strongly continuous one-parameter semigroups of linear operators. It includes a systematic discussion of the spectral theory and the long-term behavior of such semigroups. A special feature of the text is an unusually wide range of applications, to ordinary and partial differential operators, delay and Volterra equations and to control theory, et cetera, and an emphasis on philosophical motivation and the historical background."--BOOK JACKET.

"The book is written for students, but should also be of value for researchers interested in this field."--BOOK JACKET.