The Cauchy problem for higher-order abstract differential equations /

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Bibliographic Details
Author / Creator:Xiao, Ti-Jun, 1964-
Imprint:Berlin ; New York : Springer, ©1998.
Description:1 online resource (xii, 300 pages).
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1701
Lecture notes in mathematics (Springer-Verlag) ; 1701.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11065986
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Other authors / contributors:Liang, Jin, 1964-
ISBN:9783540494799
3540494790
3540652388
9783540652380
Notes:Includes bibliographical references (pages 269-297) and index.
Print version record.
Summary:This monograph is the first systematic exposition of the theory of the Cauchy problem for higher order abstract linear differential equations, which covers all the main aspects of the developed theory. The main results are complete with detailed proofs and established recently, containing the corresponding theorems for first and incomplete second order cases and therefore for operator semigroups and cosine functions. They will find applications in many fields. The special power of treating the higher order problems directly is demonstrated, as well as that of the vector-valued Laplace transforms in dealing with operator differential equations and operator families. The reader is expected to have a knowledge of complex and functional analysis.
Other form:Print version: Xiao, Ti-Jun, 1964- Cauchy problem for higher-order abstract differential equations. Berlin ; New York : Springer, ©1998 3540652388