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The Cauchy problem for higher order abstract differential equations
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 corres...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
Springer
1998
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/978-3-540-49479-9 http://cds.cern.ch/record/1691625 |
_version_ | 1780935794125438976 |
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author | Xiao, Ti-Jun Liang, Jin |
author_facet | Xiao, Ti-Jun Liang, Jin |
author_sort | Xiao, Ti-Jun |
collection | CERN |
description | 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. |
id | cern-1691625 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1998 |
publisher | Springer |
record_format | invenio |
spelling | cern-16916252021-04-21T21:08:26Zdoi:10.1007/978-3-540-49479-9http://cds.cern.ch/record/1691625engXiao, Ti-JunLiang, JinThe Cauchy problem for higher order abstract differential equationsMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:16916251998 |
spellingShingle | Mathematical Physics and Mathematics Xiao, Ti-Jun Liang, Jin The Cauchy problem for higher order abstract differential equations |
title | The Cauchy problem for higher order abstract differential equations |
title_full | The Cauchy problem for higher order abstract differential equations |
title_fullStr | The Cauchy problem for higher order abstract differential equations |
title_full_unstemmed | The Cauchy problem for higher order abstract differential equations |
title_short | The Cauchy problem for higher order abstract differential equations |
title_sort | cauchy problem for higher order abstract differential equations |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-3-540-49479-9 http://cds.cern.ch/record/1691625 |
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