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Title: A theorem about Carathéodory's superposition (English)
Author: Grande, Zbigniew
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 42
Issue: 4
Year: 1992
Pages: 443-449
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Category: math
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MSC: 26B40
MSC: 34A12
MSC: 34A99
MSC: 34G20
idZBL: Zbl 0766.34036
idMR: MR1195038
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Date available: 2009-09-25T10:42:02Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/129437
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Reference: [2] DE BLASI F. S., MYJAK J.: On the solutions sets for differential inclusions.Bull. Polish Acad. Sci. Math. 33 (1985), 17-24. Zbl 0571.34008, MR 0798723
Reference: [3] FILIPPOV A. F.: Differential Equations with Discontinuous Right-hand Side.(Russian), Nauka, Moscow, 1985. Zbl 0571.34001, MR 0790682
Reference: [4] GRANDE Z.: Sur un théorème de Nikodym.Demonstrate Math. 14 (1981), 459-469. Zbl 0474.28005, MR 0632301
Reference: [5] GRANDE Z.: Quelques remarques sur les fonctions presque continues.Probl. Mat. 10 (1988), 63-70.
Reference: [6] GRANDE Z., RZEPKA D.: Sur le produit de deux dérivées.Real Anal. Exchange 6 (1980-81), 95-110. MR 0606544
Reference: [7] HARTMAN, PH.: Ordinary Differential Equations.J. Wiley, New York-Sydney, 1954. MR 0171038
Reference: [8] HILLE E.: Functional Analysis and Semi-groups.Amer. Math. Soc., New York, 1948. Zbl 0033.06501, MR 0025077
Reference: [9] KOLODZIEJ W.: Mathematical Analysis.(Polish), PWN, Warszawa, 1979.
Reference: [10] PIANIGIANI G.: Existence of solutions for ordinary differential equations in Banach spaces.Bull. Polish Acad. Sci. Mat., Astron., Phys. 23 (1975), 853-857. Zbl 0317.34050, MR 0393710
Reference: [11] SZRAGIN W.: The conditions for the measurability of the superposition.(Russian), Dokl. Akad. Nauk SSSR 197 (1971), 295-298. MR 0277680
Reference: [12] ZAHORSKI Z.: Sur la première dérivée.Trans. Amer. Math. Soc. 69 (1950), 1-54. Zbl 0038.20602, MR 0037338
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