Coverart for item
The Resource The Cauchy problem for higher-order abstract differential equations, Ti-Jun Xiao, Jin Liang

The Cauchy problem for higher-order abstract differential equations, Ti-Jun Xiao, Jin Liang

Label
The Cauchy problem for higher-order abstract differential equations
Title
The Cauchy problem for higher-order abstract differential equations
Statement of responsibility
Ti-Jun Xiao, Jin Liang
Creator
Contributor
Subject
Language
eng
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
Member of
Cataloging source
BUF
http://library.link/vocab/creatorDate
1964-
http://library.link/vocab/creatorName
Xiao, Ti-Jun
Dewey number
  • 510 s
  • 515/.35
Index
index present
Language note
English
LC call number
QA3
LC item number
.L28 no. 1701
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1964-
http://library.link/vocab/relatedWorkOrContributorName
Liang, Jin
Series statement
Lecture notes in mathematics,
Series volume
1701
http://library.link/vocab/subjectName
  • Differential equations
  • Cauchy problem
  • Banach spaces
  • Hilbert space
  • Banach spaces
  • Cauchy problem
  • Differential equations
  • Hilbert space
Label
The Cauchy problem for higher-order abstract differential equations, Ti-Jun Xiao, Jin Liang
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 269-297) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Laplace transforms and operator families in locally convex spaces -- Wellposedness and solvability -- Generalized wellposedness -- Analyticity and parabolicity -- Exponential growth bound and exponential stability -- Differentiability and norm continuity -- Almost periodicity -- Appendices: A1 Fractional powers of non-negative operators -- A2 Strongly continuous semigroups and cosine functions -- Bibliography -- Index -- Symbols
Control code
159958072
Dimensions
unknown
Extent
1 online resource (xii, 300 pages).
Form of item
online
Isbn
9783540494799
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-49479-9.
Specific material designation
remote
System control number
(OCoLC)159958072
Label
The Cauchy problem for higher-order abstract differential equations, Ti-Jun Xiao, Jin Liang
Publication
Bibliography note
Includes bibliographical references (pages 269-297) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Laplace transforms and operator families in locally convex spaces -- Wellposedness and solvability -- Generalized wellposedness -- Analyticity and parabolicity -- Exponential growth bound and exponential stability -- Differentiability and norm continuity -- Almost periodicity -- Appendices: A1 Fractional powers of non-negative operators -- A2 Strongly continuous semigroups and cosine functions -- Bibliography -- Index -- Symbols
Control code
159958072
Dimensions
unknown
Extent
1 online resource (xii, 300 pages).
Form of item
online
Isbn
9783540494799
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-49479-9.
Specific material designation
remote
System control number
(OCoLC)159958072

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