Title:
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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 |
. |
idZBL:
|
Zbl 0642.26004 |
idMR:
|
MR913996 |
DOI:
|
10.21136/CMJ.1987.102191 |
. |
Date available:
|
2008-06-09T15:18:43Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102191 |
. |
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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