| Title:
|
Exponential expansiveness and complete admissibility for evolution families (English) |
| Author:
|
Megan, Mihail |
| Author:
|
Sasu, Bogdan |
| Author:
|
Sasu, Adina Luminiţa |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
739-749 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Connections between uniform exponential expansiveness and complete admissibility of the pair $(c_0({\mathbb N}, X),c_0({\mathbb N}, X))$ are studied. A discrete version for a theorem due to Van Minh, Räbiger and Schnaubelt is presented. Equivalent characterizations of Perron type for uniform exponential expansiveness of evolution families in terms of complete admissibility are given. (English) |
| Keyword:
|
evolution family |
| Keyword:
|
uniform exponential expansiveness |
| Keyword:
|
complete admissibility |
| MSC:
|
34D05 |
| MSC:
|
34E05 |
| MSC:
|
34G99 |
| idZBL:
|
Zbl 1080.34546 |
| idMR:
|
MR2086730 |
| . |
| Date available:
|
2009-09-24T11:17:06Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127925 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[11] M. Megan, B. Sasu and A. L. Sasu: On nonuniform exponential dichotomy of evolution operators in Banach spaces.Integral Equations Operator Theory 44 (2002), 71–78. MR 1913424, 10.1007/BF01197861 |
| Reference:
|
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| . |
