A general form of the product integral and linear ordinary differential equations

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1. Kurzweil J., Nichtabsolut konvergente Integrale, Teubner-Texte zur Mathematik 26, Teubner, Leipzig 1980. (1980) Zbl0441.28001MR0597703
2. Kurzweil J., The integral as a Hmit of integral sums, Jahrbuch Überblicke Mathematik 1984, 105-136, Bibliographisches Institut AG 1984. (1984) 
3. Schlesinger L., Einführung in die Theorie der gewöhnlichen Differentialgleichungen auf funktionentheoretischer Grundlage, Berlin 1922. (1922) 
4. Gantmacher F. R., Theory of Matrices, (Russian). Moskva 1966. English translation: Chelsea Publ. Co., New York 1959. (1966) 
5. Dollard J. D., Friedman С. N., Product Integration with Applications to Differential Equations, University Press, Cambridge 1979. (1979) Zbl0423.34014
6. Saks S., Theory of the Integral. Monografie matematyczne VII, G. E. Stechert, New York- Warszawa 1937. (1937) 
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. (1985) MR0877117

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