Title:
|
Integral of multivalued mappings and its connection with differential relations (English) |
Author:
|
Jarník, Jiří |
Author:
|
Kurzweil, Jaroslav |
Language:
|
English |
Journal:
|
Časopis pro pěstování matematiky |
ISSN:
|
0528-2195 |
Volume:
|
108 |
Issue:
|
1 |
Year:
|
1983 |
Pages:
|
8-28 |
. |
Category:
|
math |
. |
MSC:
|
28B20 |
idZBL:
|
Zbl 0536.28006 |
idMR:
|
MR694137 |
DOI:
|
10.21136/CPM.1983.118155 |
. |
Date available:
|
2009-09-23T09:18:43Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118155 |
. |
Reference:
|
[1] J. Aumann: Integrals of set-valued functions.Journ. Math. Anal, and Appl. 12 (1965), 1 - 12. Zbl 0163.06301, MR 0185073 |
Reference:
|
[2] Z. Artstein J. A. Burns: Integration of compact set-valued functions.Pacific Journ. Math. 58 (1975), 2, 297-307. MR 0385061 |
Reference:
|
[3] J. Kurzweil: Generalized ordinary differential equations and continuous dependence on a parameter.Czechoslov. Math. Journ. 7 (82) (1957), 418-449. Zbl 0090.30002, MR 0111875 |
Reference:
|
[4] J. Kurzweil: Generalized ordinary differential equations.Czechoslovak Math. Journ. 8 (83) (1958), 360-388. Zbl 0102.07003, MR 0111878 |
Reference:
|
[5] J. Kurzweil: Nichtabsolut konvergente Integrale.Teubner-Texte zur Mathematik 26, B. G. Teubner, Leipzig 1980. Zbl 0441.28001, MR 0597703 |
Reference:
|
[6] R. Henstock: Theory of Integration.Butterworths, London 1963. Zbl 0154.05001, MR 0158047 |
Reference:
|
[7] E. J. MacShane: A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals.Memoirs Amer. Math. Soc. 88 (1969). MR 0265527 |
Reference:
|
[8] K. J. Arrow F. H: Hahn: General Competitive Analysis.Holden-Day Inc., San Francisco 1971. MR 0439057 |
Reference:
|
[9] T. Rzezuchowski: Scorza-Dragoni type theorem for upper semicontinuous multivalued functions.Bulletin Acad. Pol. Sci., Ser. sci. math. XXVIII (1980), 61 - 66. Zbl 0459.28007, MR 0616201 |
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