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Title: A general form of the product integral and linear ordinary differential equations (English)
Author: Jarník, Jiří
Author: Kurzweil, Jaroslav
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 37
Issue: 4
Year: 1987
Pages: 642-659
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Category: math
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idZBL: Zbl 0642.26004
idMR: MR913996
DOI: 10.21136/CMJ.1987.102191
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Date available: 2008-06-09T15:18:43Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102191
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Reference: [1] Kurzweil J.: Nichtabsolut konvergente Integrale.Teubner-Texte zur Mathematik 26, Teubner, Leipzig 1980. Zbl 0441.28001, MR 0597703
Reference: [2] Kurzweil J.: The integral as a Hmit of integral sums.Jahrbuch Überblicke Mathematik 1984, 105-136, Bibliographisches Institut AG 1984.
Reference: [3] Schlesinger L.: Einführung in die Theorie der gewöhnlichen Differentialgleichungen auf funktionentheoretischer Grundlage.Berlin 1922.
Reference: [4] Gantmacher F. R.: Theory of Matrices.(Russian). Moskva 1966. English translation: Chelsea Publ. Co., New York 1959.
Reference: [5] Dollard J. D., Friedman С. N.: Product Integration with Applications to Differential Equations.University Press, Cambridge 1979. Zbl 0423.34014
Reference: [6] Saks S.: Theory of the Integral. Monografie matematyczne VII.G. E. Stechert, New York- Warszawa 1937.
Reference: [7] Kurzweil J., Jarník J.: Perron integral, Perron product integral and ordinary linear differential equations.In: Equadiff 6, Proceedings of the International Conference on Differential Equations and their Applications held in Brno, Czechoslovakia, Aug. 26-30, 1985, 149-154. Lecture Notes in Mathematics No. 1192. Springer-Verlag, Berlin-Heidelberg-New York-Tokyo 1986. MR 0877117
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