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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
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Category: math
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MSC: 28B20
idZBL: Zbl 0536.28006
idMR: MR694137
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Date available: 2009-09-23T09:18:43Z
Last updated: 2012-05-12
Stable URL: http://hdl.handle.net/10338.dmlcz/118155
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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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