| Title:
|
On a certain converse statement of the Filippov-Ważewski relaxation theorem (English) |
| Author:
|
Cernea, Aurelian |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
42 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
77-81 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A certain converse statement of the Filippov-Wa\v zewski theorem is proved. This result extends to the case of time dependent differential inclusions a previous result of Jo'o and Tallos in [5] obtained for autonomous differential inclusions. (English) |
| Keyword:
|
differential inclusion |
| Keyword:
|
relaxation property |
| Keyword:
|
tangent cone |
| MSC:
|
34A60 |
| idZBL:
|
Zbl 1052.34014 |
| idMR:
|
MR1825373 |
| . |
| Date available:
|
2009-01-08T19:08:27Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119224 |
| . |
| Reference:
|
[1] Aubin J.P., Cellina A.: Differential Inclusions.Springer, Berlin, 1984. Zbl 0538.34007, MR 0755330 |
| Reference:
|
[2] Aubin J.P., Frankowska H.: Set-valued Analysis.Birkhäuser, Basel, Boston, 1989. Zbl 1168.49014, MR 1048347 |
| Reference:
|
[3] Frankowska H.: Local controllability and infinitesimal generators of semi-groups of set-valued maps.SIAM J. Control Optim. 25 (1987), 412-431. MR 0877070 |
| Reference:
|
[4] Frankowska H.: Control of Nonlinear Systems and Differential Inclusions.Birkhäuser, to appear. |
| Reference:
|
[5] Joó I., Tallos P.: The Filippov-Wažewski Relaxation Theorem revisited.Acta Math. Hungar. 83 (1999), 171-177. MR 1682910 |
| Reference:
|
[6] Zhu Q.J.: On the solution set of differential inclusions in Banach space.J. Differential Equations 93 (1991), 213-237. Zbl 0735.34017, MR 1125218 |
| . |
