| Title:
|
A strong relaxation theorem for maximal monotone differential inclusions with memory (English) |
| Author:
|
Papageorgiou, Nikolaos S. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
227-235 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider maximal monotone differential inclusions with memory. We establish the existence of extremal strong and then we show that they are dense in the solution set of the original equation. As an application, we derive a “bang-bang” principle for nonlinear control systems monitored by maximal monotone differential equations. (English) |
| Keyword:
|
maximal monotone operator |
| Keyword:
|
differential inclusion |
| Keyword:
|
continuous selector |
| Keyword:
|
“bang-bang” principle |
| MSC:
|
34A60 |
| MSC:
|
34H05 |
| MSC:
|
34K35 |
| MSC:
|
49J24 |
| idZBL:
|
Zbl 0817.34010 |
| idMR:
|
MR1322568 |
| . |
| Date available:
|
2008-06-06T21:26:49Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107510 |
| . |
| 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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| 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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[15] Tolstonogov, A: Extreme continuous selectors for multivalued maps and “bang-bang" principle for evolution inclusion.Soviet Math. Doklady 317 (1991), 481-485. MR 1121349 |
| Reference:
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| . |
