Geodesic
A general form of the product integral and linear ordinary differential equations
Czechoslovak Mathematical Journal, Tome 37 (1987) no. 4, pp. 642-659
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

@article{10_21136_CMJ_1987_102191,
     author = {Jarn{\'\i}k, Ji\v{r}{\'\i} and Kurzweil, Jaroslav},
     title = {A general form of the product integral and linear ordinary differential equations},
     journal = {Czechoslovak Mathematical Journal},
     pages = {642--659},
     year = {1987},
     volume = {37},
     number = {4},
     doi = {10.21136/CMJ.1987.102191},
     mrnumber = {913996},
     zbl = {0642.26004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1987.102191/}
}
TY  - JOUR
AU  - Jarník, Jiří
AU  - Kurzweil, Jaroslav
TI  - A general form of the product integral and linear ordinary differential equations
JO  - Czechoslovak Mathematical Journal
PY  - 1987
SP  - 642
EP  - 659
VL  - 37
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1987.102191/
DO  - 10.21136/CMJ.1987.102191
LA  - en
ID  - 10_21136_CMJ_1987_102191
ER  - 
%0 Journal Article
%A Jarník, Jiří
%A Kurzweil, Jaroslav
%T A general form of the product integral and linear ordinary differential equations
%J Czechoslovak Mathematical Journal
%D 1987
%P 642-659
%V 37
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1987.102191/
%R 10.21136/CMJ.1987.102191
%G en
%F 10_21136_CMJ_1987_102191
Jarník, Jiří; Kurzweil, Jaroslav. A general form of the product integral and linear ordinary differential equations. Czechoslovak Mathematical Journal, Tome 37 (1987) no. 4, pp. 642-659. doi: 10.21136/CMJ.1987.102191

[1] Kurzweil J.: Nichtabsolut konvergente Integrale. Teubner-Texte zur Mathematik 26, Teubner, Leipzig 1980. | MR | Zbl

[2] Kurzweil J.: The integral as a Hmit of integral sums. Jahrbuch Überblicke Mathematik 1984, 105-136, Bibliographisches Institut AG 1984.

[3] Schlesinger L.: Einführung in die Theorie der gewöhnlichen Differentialgleichungen auf funktionentheoretischer Grundlage. Berlin 1922.

[4] Gantmacher F. R.: Theory of Matrices. (Russian). Moskva 1966. English translation: Chelsea Publ. Co., New York 1959.

[5] Dollard J. D., Friedman С. N.: Product Integration with Applications to Differential Equations. University Press, Cambridge 1979. | Zbl

[6] Saks S.: Theory of the Integral. Monografie matematyczne VII. G. E. Stechert, New York- Warszawa 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. | MR

Cité par Sources :