| Title:
|
On the existence of periodic solutions for nonconvex differential inclusions (English) |
| Author:
|
Kravvaritis, Dimitrios |
| Author:
|
Papageorgiou, Nikolaos S. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
1-8 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Using a Nagumo type tangential condition and a recent theorem on the existence of directionally continuous selector for a lower semicontinuous multifunctions, we establish the existence of periodic trajectories for nonconvex differential inclusions. (English) |
| Keyword:
|
lower semicontinuous multifunction |
| Keyword:
|
$C_M$-continuous selector |
| Keyword:
|
tangent cone |
| Keyword:
|
contingent derivative |
| Keyword:
|
Filippov regularization |
| Keyword:
|
fixed point |
| MSC:
|
34A60 |
| MSC:
|
34G20 |
| idZBL:
|
Zbl 0870.34018 |
| idMR:
|
MR1399836 |
| . |
| Date available:
|
2008-06-06T21:29:51Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107557 |
| . |
| 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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[11] Papageorgiou, N. S.: On the attainable set of differential inclusions and control systems.J. Math. Anal. Appl. 125 (1987), 305-322. Zbl 0636.49018, MR 0896170 |
| Reference:
|
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| Reference:
|
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| . |
