| Title:
|
An extension of Brunovský's Scorza-Dragoni type theorem for unbounded set-valued functions (English) |
| Author:
|
Himmelberg, Charles J. |
| Author:
|
Van Vleck, F. S. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
26 |
| Issue:
|
1 |
| Year:
|
1976 |
| Pages:
|
47-52 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A15 |
| MSC:
|
28A20 |
| idZBL:
|
Zbl 0328.28004 |
| idMR:
|
MR0430205 |
| . |
| Date available:
|
2009-09-25T08:41:24Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128667 |
| . |
| Reference:
|
[B] BRUNOVSKÝ P.: Scorza Dragoni's theorem for unbounded set-valued functions and its applications to control problems.Mat. Čas., 20, 1970, 205-213. Zbl 0215.21601, MR 0303380 |
| Reference:
|
[C-1] CASTAING C.: Sur les multi-applications mesurables.Rev. Française Inforn at. Recherche Operationelle, 1, 1967, 91-126. Zbl 0153.08501, MR 0223527 |
| Reference:
|
[C-2] CASTA1NG, C: Sur le graphe d'une multi-application Sonslinienne (Mosurablo).Faculté des Sciences de Montpellier, Mathematiques (1969). |
| Reference:
|
[G] GOODMAN G.: On a theorem of Scorza Dragoni and its application to optimal control.In: Mathematical Theory of Control, ed. by A. Balakrislman and L. N u stadt, Academic Press, 1967, pp. 222-233, New York. Zbl 0228.49010, MR 0256238 |
| Reference:
|
[H-1] HIMMELBERG, C: Precompact contraction of metric uniformities and the continuity of F(t, x).Rend. Semin. mat. Univ. Padova, 48, 1973, 159-169. MR 0355958 |
| Reference:
|
[J-1] JACOBS M.: Remark on some recent extensions of Filippov's implicit function lemma.SIAM J. Control. 5, 1967, 622-627. MR 0223951 |
| Reference:
|
[J-2] JACOBS M.: Measurable multivalued mappings and Lusin's theorem.Trans. Amer. Math. Soc., 134, 1968, 471-481. Zbl 0169.06801, MR 0236868 |
| Reference:
|
[K] KIKUCHI N.: On contingent equations satisfying the Carathéodory type conditions.RIMS. Kyoto Univ. Ser. A, 3. 1968, 361-371. Zbl 0197.13106, MR 0230973 |
| Reference:
|
[S] SCORZA DRAGONI G.: Una Theorema sulle funzioni continue rispetto ad una i misurable rispetto ad ultra variabile.Rend. Somin. mat. Univ. Padova. 17. 1948, 102-106. MR 0028385 |
| Reference:
|
[W] WATSON P.: On the limit of sequences of sets.Quart. J. Math., 4, 1953, 1-3. MR 0054241 |
| . |
